48100574961 has 24 divisors (see below), whose sum is σ = 70204732416. Its totient is φ = 31733660160.

The previous prime is 48100574947. The next prime is 48100574969. The reversal of 48100574961 is 16947500184.

48100574961 is a `hidden beast` number, since 4 + 8 + 10 + 0 + 574 + 9 + 61 = 666.

It is not a de Polignac number, because 48100574961 - 2²³ = 48092186353 is a prime.

It is a super-3 number, since 3×48100574961³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48100574969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259276 + ... + 404258.

It is an arithmetic number, because the mean of its divisors is an integer number (2925197184).

Almost surely, 2^48100574961 is an apocalyptic number.

It is an amenable number.

48100574961 is a deficient number, since it is larger than the sum of its proper divisors (22104157455).

48100574961 is a wasteful number, since it uses less digits than its factorization.

48100574961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145373 (or 145370 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 48100574961 in words is "forty-eight billion, one hundred million, five hundred seventy-four thousand, nine hundred sixty-one".