45407978112 has 256 divisors, whose sum is σ = 148716000000. Its totient is φ = 11979522048.

The previous prime is 45407978111. The next prime is 45407978123. The reversal of 45407978112 is 21187970454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45407978111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412514 + ... + 2431262.

It is an arithmetic number, because the mean of its divisors is an integer number (580921875).

Almost surely, 2^45407978112 is an apocalyptic number.

45407978112 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 45407978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358000000).

45407978112 is an abundant number, since it is smaller than the sum of its proper divisors (103308021888).

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

45407978112 is a wasteful number, since it uses less digits than its factorization.

45407978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 45407978112 in words is "forty-five billion, four hundred seven million, nine hundred seventy-eight thousand, one hundred twelve".