46239999161760 has 288 divisors, whose sum is σ = 158597398552320. Its totient is φ = 12267978799104.

The previous prime is 46239999161729. The next prime is 46239999161761. The reversal of 46239999161760 is 6716199993264.

46239999161760 is a `hidden beast` number, since 4 + 6 + 2 + 399 + 9 + 9 + 161 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (46239999161761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384366579 + ... + 384486861.

It is an arithmetic number, because the mean of its divisors is an integer number (550685411640).

Almost surely, 2^{46239999161760} is an apocalyptic number.

46239999161760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46239999161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79298699276160).

46239999161760 is an abundant number, since it is smaller than the sum of its proper divisors (112357399390560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46239999161760 is a wasteful number, since it uses less digits than its factorization.

46239999161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121660 (or 121649 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 46239999161760 in words is "forty-six trillion, two hundred thirty-nine billion, nine hundred ninety-nine million, one hundred sixty-one thousand, seven hundred sixty".