45689215915008 has 264 divisors, whose sum is σ = 132957131128640. Its totient is φ = 15110910443520.

The previous prime is 45689215915001. The next prime is 45689215915073. The reversal of 45689215915008 is 80051951298654.

45689215915008 is a `hidden beast` number, since 4 + 56 + 8 + 9 + 21 + 59 + 1 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45689215915001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2276369613 + ... + 2276389683.

Almost surely, 2^{45689215915008} is an apocalyptic number.

45689215915008 is a gapful number since it is divisible by the number (48) 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 45689215915008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66478565564320).

45689215915008 is an abundant number, since it is smaller than the sum of its proper divisors (87267915213632).

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

45689215915008 is a wasteful number, since it uses less digits than its factorization.

45689215915008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22013 (or 21992 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 45689215915008 in words is "forty-five trillion, six hundred eighty-nine billion, two hundred fifteen million, nine hundred fifteen thousand, eight".