45155006400 has 168 divisors, whose sum is σ = 169309897600. Its totient is φ = 10321136640.

The previous prime is 45155006389. The next prime is 45155006431. The reversal of 45155006400 is 460055154.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638350 + ... + 705549.

Almost surely, 2^45155006400 is an apocalyptic number.

45155006400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45155006400 is an abundant number, since it is smaller than the sum of its proper divisors (124154891200).

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

45155006400 is a wasteful number, since it uses less digits than its factorization.

45155006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343931 (or 1343916 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 45155006400 in words is "forty-five billion, one hundred fifty-five million, six thousand, four hundred".