46993814509824 has 1728 divisors, whose sum is σ = 177592452710400. Its totient is φ = 12315183390720.

The previous prime is 46993814509777. The next prime is 46993814509853. The reversal of 46993814509824 is 42890541839964.

46993814509824 is a `hidden beast` number, since 4 + 6 + 9 + 9 + 3 + 81 + 450 + 98 + 2 + 4 = 666.

46993814509824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52980624709 + ... + 52980625595.

Almost surely, 2^{46993814509824} 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 46993814509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796226355200).

46993814509824 is an abundant number, since it is smaller than the sum of its proper divisors (130598638200576).

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

46993814509824 is an equidigital number, since it uses as much as digits as its factorization.

46993814509824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 46993814509824 in words is "forty-six trillion, nine hundred ninety-three billion, eight hundred fourteen million, five hundred nine thousand, eight hundred twenty-four".