45591856128 has 352 divisors, whose sum is σ = 166188888320. Its totient is φ = 12023562240.

The previous prime is 45591856109. The next prime is 45591856151. The reversal of 45591856128 is 82165819554.

45591856128 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 18 + 5 + 612 + 8 = 666.

It is a super-3 number, since 3×45591856128³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506908 + ... + 2525028.

Almost surely, 2^45591856128 is an apocalyptic number.

45591856128 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 45591856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83094444160).

45591856128 is an abundant number, since it is smaller than the sum of its proper divisors (120597032192).

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

45591856128 is a wasteful number, since it uses less digits than its factorization.

45591856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18170 (or 18146 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 45591856128 in words is "forty-five billion, five hundred ninety-one million, eight hundred fifty-six thousand, one hundred twenty-eight".