46554134400 has 1152 divisors, whose sum is σ = 190600300800. Its totient is φ = 11167580160.

The previous prime is 46554134399. The next prime is 46554134411. The reversal of 46554134400 is 443145564.

46554134400 is a `hidden beast` number, since 46 + 5 + 541 + 34 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 339811132 + ... + 339811268.

It is an arithmetic number, because the mean of its divisors is an integer number (165451650).

Almost surely, 2^46554134400 is an apocalyptic number.

46554134400 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 46554134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95300150400).

46554134400 is an abundant number, since it is smaller than the sum of its proper divisors (144046166400).

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

46554134400 is a wasteful number, since it uses less digits than its factorization.

46554134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 46554134400 its reverse (443145564), we get a palindrome (46997279964).

The spelling of 46554134400 in words is "forty-six billion, five hundred fifty-four million, one hundred thirty-four thousand, four hundred".