45977111136 has 240 divisors, whose sum is σ = 153925567488. Its totient is φ = 13326508800.

The previous prime is 45977111101. The next prime is 45977111137. The reversal of 45977111136 is 63111177954.

45977111136 is a `hidden beast` number, since 4 + 597 + 7 + 11 + 11 + 36 = 666.

It is a super-2 number, since 2×45977111136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45977111091 and 45977111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45977111137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 620721 + ... + 690831.

Almost surely, 2^45977111136 is an apocalyptic number.

45977111136 is a gapful number since it is divisible by the number (46) 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 45977111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76962783744).

45977111136 is an abundant number, since it is smaller than the sum of its proper divisors (107948456352).

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

45977111136 is a wasteful number, since it uses less digits than its factorization.

45977111136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70167 (or 70150 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The spelling of 45977111136 in words is "forty-five billion, nine hundred seventy-seven million, one hundred eleven thousand, one hundred thirty-six".