45695125120 has 64 divisors (see below), whose sum is σ = 109483893000. Its totient is φ = 18237227008.

The previous prime is 45695125111. The next prime is 45695125199. The reversal of 45695125120 is 2152159654.

It can be written as a sum of positive squares in 4 ways, for example, as 40865431104 + 4829694016 = 202152^2 + 69496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×45695125120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 207852 + ... + 366868.

Almost surely, 2^45695125120 is an apocalyptic number.

45695125120 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 45695125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54741946500).

45695125120 is an abundant number, since it is smaller than the sum of its proper divisors (63788767880).

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

45695125120 is a wasteful number, since it uses less digits than its factorization.

45695125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159485 (or 159473 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 45695125120 in words is "forty-five billion, six hundred ninety-five million, one hundred twenty-five thousand, one hundred twenty".