102048732334764 has 144 divisors (see below), whose sum is σ = 280364611072000. Its totient is φ = 31178325496320.

The previous prime is 102048732334751. The next prime is 102048732334777. The reversal of 102048732334764 is 467433237840201.

102048732334764 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 487 + 32 + 33 + 47 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (102048732334751) and next prime (102048732334777).

It is a super-2 number, since 2×102048732334764² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102048732334764.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81843597 + ... + 83081115.

Almost surely, 2^{102048732334764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102048732334764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140182305536000).

102048732334764 is an abundant number, since it is smaller than the sum of its proper divisors (178315878737236).

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

102048732334764 is a wasteful number, since it uses less digits than its factorization.

102048732334764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241468 (or 1241463 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 102048732334764 in words is "one hundred two trillion, forty-eight billion, seven hundred thirty-two million, three hundred thirty-four thousand, seven hundred sixty-four".