45159887906892 has 480 divisors, whose sum is σ = 131975437321728. Its totient is φ = 13351080960000.

The previous prime is 45159887906879. The next prime is 45159887906971. The reversal of 45159887906892 is 29860978895154.

45159887906892 is a `hidden beast` number, since 4 + 515 + 9 + 8 + 8 + 7 + 9 + 0 + 6 + 8 + 92 = 666.

It is a super-2 number, since 2×45159887906892² (a number of 28 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 9664001068 + ... + 9664005740.

Almost surely, 2^{45159887906892} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45159887906892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65987718660864).

45159887906892 is an abundant number, since it is smaller than the sum of its proper divisors (86815549414836).

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

45159887906892 is a wasteful number, since it uses less digits than its factorization.

45159887906892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 81.

The spelling of 45159887906892 in words is "forty-five trillion, one hundred fifty-nine billion, eight hundred eighty-seven million, nine hundred six thousand, eight hundred ninety-two".