48657767662144 has 63 divisors (see below), whose sum is σ = 96832781668441. Its totient is φ = 24259156613120.

The previous prime is 48657767662139. The next prime is 48657767662157. The reversal of 48657767662144 is 44126676775684.

The square root of 48657767662144 is 6975512.

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., 18437680263744 + 30220087398400 = 4293912^2 + 5497280^2 .

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, 23381915184 + ... + 23381917264.

Almost surely, 2^{48657767662144} is an apocalyptic number.

48657767662144 is the 6975512-nd square number.

It is an amenable number.

48657767662144 is a deficient number, since it is larger than the sum of its proper divisors (48175014006297).

48657767662144 is an frugal number, since it uses more digits than its factorization.

48657767662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 2502 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 73.

The spelling of 48657767662144 in words is "forty-eight trillion, six hundred fifty-seven billion, seven hundred sixty-seven million, six hundred sixty-two thousand, one hundred forty-four".