45171025536 has 1024 divisors, whose sum is σ = 166699008000. Its totient is φ = 10729635840.

The previous prime is 45171025477. The next prime is 45171025547. The reversal of 45171025536 is 63552017154.

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

It is a junction number, because it is equal to n+sod(n) for n = 45171025494 and 45171025503.

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, 1220838510 + ... + 1220838546.

It is an arithmetic number, because the mean of its divisors is an integer number (162792000).

Almost surely, 2^45171025536 is an apocalyptic number.

45171025536 is a gapful number since it is divisible by the number (46) 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 45171025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83349504000).

45171025536 is an abundant number, since it is smaller than the sum of its proper divisors (121527982464).

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

45171025536 is a wasteful number, since it uses less digits than its factorization.

45171025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 45171025536 in words is "forty-five billion, one hundred seventy-one million, twenty-five thousand, five hundred thirty-six".