45077699155104 has 1440 divisors, whose sum is σ = 175166804026368. Its totient is φ = 11116121702400.

The previous prime is 45077699155103. The next prime is 45077699155117. The reversal of 45077699155104 is 40155199677054.

45077699155104 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 76 + 9 + 9 + 1 + 551 + 0 + 4 = 666.

It is a super-2 number, since 2×45077699155104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45077699155103) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3607075384 + ... + 3607087880.

Almost surely, 2^{45077699155104} is an apocalyptic number.

45077699155104 is a gapful number since it is divisible by the number (44) 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 45077699155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87583402013184).

45077699155104 is an abundant number, since it is smaller than the sum of its proper divisors (130089104871264).

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

45077699155104 is a wasteful number, since it uses less digits than its factorization.

45077699155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 45077699155104 in words is "forty-five trillion, seventy-seven billion, six hundred ninety-nine million, one hundred fifty-five thousand, one hundred four".