53945940144100 has 27 divisors (see below), whose sum is σ = 117062849494857. Its totient is φ = 21578346678480.

The previous prime is 53945940144023. The next prime is 53945940144133. The reversal of 53945940144100 is 144104954935.

The square root of 53945940144100 is 7344790.

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

It can be written as a sum of positive squares in only one way, i.e., 19420538451876 + 34525401692224 = 4406874^2 + 5875832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73080661 + ... + 73815139.

Almost surely, 2^{53945940144100} is an apocalyptic number.

53945940144100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53945940144100 is the 7344790-th square number.

It is an amenable number.

53945940144100 is an abundant number, since it is smaller than the sum of its proper divisors (63116909350757).

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

53945940144100 is an frugal number, since it uses more digits than its factorization.

53945940144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468972 (or 734486 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 53945940144100 in words is "fifty-three trillion, nine hundred forty-five billion, nine hundred forty million, one hundred forty-four thousand, one hundred".