46450950892920 has 384 divisors, whose sum is σ = 172808318592000. Its totient is φ = 10600377384960.

The previous prime is 46450950892849. The next prime is 46450950892937. The reversal of 46450950892920 is 2929805905464.

46450950892920 is a `hidden beast` number, since 4 + 6 + 4 + 509 + 5 + 0 + 89 + 29 + 20 = 666.

It is a super-2 number, since 2×46450950892920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4470300925 + ... + 4470311315.

It is an arithmetic number, because the mean of its divisors is an integer number (450021663000).

Almost surely, 2^{46450950892920} is an apocalyptic number.

46450950892920 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 46450950892920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86404159296000).

46450950892920 is an abundant number, since it is smaller than the sum of its proper divisors (126357367699080).

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

46450950892920 is a wasteful number, since it uses less digits than its factorization.

46450950892920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083 (or 13076 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 46450950892920 in words is "forty-six trillion, four hundred fifty billion, nine hundred fifty million, eight hundred ninety-two thousand, nine hundred twenty".