46534613400 has 480 divisors, whose sum is σ = 186698072880. Its totient is φ = 10616832000.

The previous prime is 46534613387. The next prime is 46534613413. The reversal of 46534613400 is 431643564.

46534613400 is a `hidden beast` number, since 4 + 6 + 5 + 34 + 613 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46534613387) and next prime (46534613413).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3021720 + ... + 3037080.

Almost surely, 2^46534613400 is an apocalyptic number.

46534613400 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 46534613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93349036440).

46534613400 is an abundant number, since it is smaller than the sum of its proper divisors (140163459480).

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

46534613400 is a wasteful number, since it uses less digits than its factorization.

46534613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15417 (or 15399 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46534613400 in words is "forty-six billion, five hundred thirty-four million, six hundred thirteen thousand, four hundred".