57846216148900 has 27 divisors (see below), whose sum is σ = 125526454086369. Its totient is φ = 23138456036880.

The previous prime is 57846216148859. The next prime is 57846216148933. The reversal of 57846216148900 is 984161264875.

The square root of 57846216148900 is 7605670.

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

57846216148900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20824637813604 + 37021578335296 = 4563402^2 + 6084536^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 75676417 + ... + 76436983.

Almost surely, 2^{57846216148900} is an apocalyptic number.

57846216148900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57846216148900 is the 7605670-th square number.

It is an amenable number.

57846216148900 is an abundant number, since it is smaller than the sum of its proper divisors (67680237937469).

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

57846216148900 is an frugal number, since it uses more digits than its factorization.

57846216148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521148 (or 760574 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 57846216148900 in words is "fifty-seven trillion, eight hundred forty-six billion, two hundred sixteen million, one hundred forty-eight thousand, nine hundred".