45912877920 has 384 divisors, whose sum is σ = 197780244480. Its totient is φ = 9687029760.

The previous prime is 45912877897. The next prime is 45912877939. The reversal of 45912877920 is 2977821954.

45912877920 is a `hidden beast` number, since 4 + 591 + 28 + 7 + 7 + 9 + 20 = 666.

45912877920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45912877920³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334725 + ... + 451515.

It is an arithmetic number, because the mean of its divisors is an integer number (515052720).

Almost surely, 2^45912877920 is an apocalyptic number.

45912877920 is a gapful number since it is divisible by the number (40) 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 45912877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98890122240).

45912877920 is an abundant number, since it is smaller than the sum of its proper divisors (151867366560).

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

45912877920 is a wasteful number, since it uses less digits than its factorization.

45912877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116835 (or 116821 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 45912877920 in words is "forty-five billion, nine hundred twelve million, eight hundred seventy-seven thousand, nine hundred twenty".