345553572000 has 768 divisors, whose sum is σ = 1414366507008. Its totient is φ = 71804620800.

The previous prime is 345553571999. The next prime is 345553572043. The reversal of 345553572000 is 275355543.

It is a super-2 number, since 2×345553572000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 345553572000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73161639 + ... + 73166361.

It is an arithmetic number, because the mean of its divisors is an integer number (1841623056).

Almost surely, 2^345553572000 is an apocalyptic number.

345553572000 is a gapful number since it is divisible by the number (30) 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 345553572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707183253504).

345553572000 is an abundant number, since it is smaller than the sum of its proper divisors (1068812935008).

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

345553572000 is a wasteful number, since it uses less digits than its factorization.

345553572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 39.

The spelling of 345553572000 in words is "three hundred forty-five billion, five hundred fifty-three million, five hundred seventy-two thousand".