46000457431900 has 72 divisors (see below), whose sum is σ = 105724407173616. Its totient is φ = 17312642995200.

The previous prime is 46000457431897. The next prime is 46000457431931. The reversal of 46000457431900 is 913475400064.

It is a super-2 number, since 2×46000457431900² (a number of 28 digits) contains 22 as substring.

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, 1647610 + ... + 9732190.

It is an arithmetic number, because the mean of its divisors is an integer number (1468394544078).

Almost surely, 2^{46000457431900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46000457431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52862203586808).

46000457431900 is an abundant number, since it is smaller than the sum of its proper divisors (59723949741716).

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

46000457431900 is a wasteful number, since it uses less digits than its factorization.

46000457431900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087959 (or 8087952 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 46000457431900 in words is "forty-six trillion, four hundred fifty-seven million, four hundred thirty-one thousand, nine hundred".