46625048640 has 336 divisors, whose sum is σ = 170458881840. Its totient is φ = 11656888320.

The previous prime is 46625048633. The next prime is 46625048677. The reversal of 46625048640 is 4684052664.

46625048640 is a `hidden beast` number, since 4 + 6 + 62 + 504 + 86 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9687283776 + 36937764864 = 98424^2 + 192192^2 .

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 47 ways as a sum of consecutive naturals, for example, 13756066 + ... + 13759454.

Almost surely, 2^46625048640 is an apocalyptic number.

46625048640 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 46625048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85229440920).

46625048640 is an abundant number, since it is smaller than the sum of its proper divisors (123833833200).

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

46625048640 is a wasteful number, since it uses less digits than its factorization.

46625048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46625048640 in words is "forty-six billion, six hundred twenty-five million, forty-eight thousand, six hundred forty".