46035947520 has 312 divisors, whose sum is σ = 160235618400. Its totient is φ = 12225282048.

The previous prime is 46035947501. The next prime is 46035947567. The reversal of 46035947520 is 2574953064.

46035947520 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 594 + 7 + 52 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69856951 + ... + 69857609.

It is an arithmetic number, because the mean of its divisors is an integer number (513575700).

Almost surely, 2^46035947520 is an apocalyptic number.

46035947520 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 46035947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80117809200).

46035947520 is an abundant number, since it is smaller than the sum of its proper divisors (114199670880).

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

46035947520 is a wasteful number, since it uses less digits than its factorization.

46035947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 46035947520 in words is "forty-six billion, thirty-five million, nine hundred forty-seven thousand, five hundred twenty".