45150779520 has 576 divisors, whose sum is σ = 197867629440. Its totient is φ = 9381335040.

The previous prime is 45150779503. The next prime is 45150779537. The reversal of 45150779520 is 2597705154.

45150779520 is a `hidden beast` number, since 4 + 5 + 1 + 50 + 7 + 79 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (45150779503) and next prime (45150779537).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3097369 + ... + 3111911.

It is an arithmetic number, because the mean of its divisors is an integer number (343520190).

Almost surely, 2^45150779520 is an apocalyptic number.

45150779520 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 45150779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98933814720).

45150779520 is an abundant number, since it is smaller than the sum of its proper divisors (152716849920).

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

45150779520 is a wasteful number, since it uses less digits than its factorization.

45150779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 45150779520 in words is "forty-five billion, one hundred fifty million, seven hundred seventy-nine thousand, five hundred twenty".