46949975654400 has 3264 divisors, whose sum is σ = 216253308902400. Its totient is φ = 9723319418880.

The previous prime is 46949975654371. The next prime is 46949975654401. The reversal of 46949975654400 is 445657994964.

It is a happy number.

46949975654400 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 9 + 9 + 75 + 6 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46949975654401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430733721546 + ... + 430733721654.

Almost surely, 2^{46949975654400} is an apocalyptic number.

46949975654400 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 46949975654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108126654451200).

46949975654400 is an abundant number, since it is smaller than the sum of its proper divisors (169303333248000).

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

46949975654400 is a wasteful number, since it uses less digits than its factorization.

46949975654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 46949975654400 in words is "forty-six trillion, nine hundred forty-nine billion, nine hundred seventy-five million, six hundred fifty-four thousand, four hundred".