45312860178432 has 1152 divisors, whose sum is σ = 171924798689280. Its totient is φ = 11147726684160.

The previous prime is 45312860178413. The next prime is 45312860178479. The reversal of 45312860178432 is 23487106821354.

45312860178432 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 28 + 601 + 7 + 8 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3362229678 + ... + 3362243154.

It is an arithmetic number, because the mean of its divisors is an integer number (149240276640).

Almost surely, 2^{45312860178432} is an apocalyptic number.

45312860178432 is a gapful number since it is divisible by the number (42) 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 45312860178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85962399344640).

45312860178432 is an abundant number, since it is smaller than the sum of its proper divisors (126611938510848).

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

45312860178432 is a wasteful number, since it uses less digits than its factorization.

45312860178432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

Adding to 45312860178432 its reverse (23487106821354), we get a palindrome (68799966999786).

The spelling of 45312860178432 in words is "forty-five trillion, three hundred twelve billion, eight hundred sixty million, one hundred seventy-eight thousand, four hundred thirty-two".