48377562601 has 27 divisors (see below), whose sum is σ = 51669045687. Its totient is φ = 45291898080.

The previous prime is 48377562593. The next prime is 48377562613. The reversal of 48377562601 is 10626577384.

The square root of 48377562601 is 219949.

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., 27461461225 + 20916101376 = 165715^2 + 144624^2 .

It is not a de Polignac number, because 48377562601 - 2³ = 48377562593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48377562661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 369294306 + ... + 369294436.

Almost surely, 2^48377562601 is an apocalyptic number.

48377562601 is the 219949-th square number.

48377562601 is the 109975-th centered octagonal number.

It is an amenable number.

48377562601 is a deficient number, since it is larger than the sum of its proper divisors (3291483086).

48377562601 is an frugal number, since it uses more digits than its factorization.

48377562601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 48377562601 by its sum of digits (49), we get a square (2370500567449 = 1539643²).

The spelling of 48377562601 in words is "forty-eight billion, three hundred seventy-seven million, five hundred sixty-two thousand, six hundred one".