46893077013904 has 135 divisors (see below), whose sum is σ = 100911551935467. Its totient is φ = 21094123300800.

The previous prime is 46893077013889. The next prime is 46893077013907. The reversal of 46893077013904 is 40931077039864.

The square root of 46893077013904 is 6847852.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46893077013907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31034464509 + ... + 31034466019.

Almost surely, 2^{46893077013904} is an apocalyptic number.

46893077013904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

46893077013904 is the 6847852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46893077013904

46893077013904 is an abundant number, since it is smaller than the sum of its proper divisors (54018474921563).

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

46893077013904 is an equidigital number, since it uses as much as digits as its factorization.

46893077013904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 46893077013904 in words is "forty-six trillion, eight hundred ninety-three billion, seventy-seven million, thirteen thousand, nine hundred four".