45868639969152 has 4032 divisors, whose sum is σ = 196121609192880. Its totient is φ = 10496928153600.

The previous prime is 45868639969133. The next prime is 45868639969177. The reversal of 45868639969152 is 25196993686854.

45868639969152 is a `hidden beast` number, since 4 + 5 + 86 + 86 + 399 + 69 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 628337533788 + ... + 628337533860.

Almost surely, 2^{45868639969152} is an apocalyptic number.

45868639969152 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 45868639969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98060804596440).

45868639969152 is an abundant number, since it is smaller than the sum of its proper divisors (150252969223728).

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

45868639969152 is a wasteful number, since it uses less digits than its factorization.

45868639969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 140 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 81.

The spelling of 45868639969152 in words is "forty-five trillion, eight hundred sixty-eight billion, six hundred thirty-nine million, nine hundred sixty-nine thousand, one hundred fifty-two".