102575281365648 has 480 divisors, whose sum is σ = 364825681606400. Its totient is φ = 26871030263808.

The previous prime is 102575281365607. The next prime is 102575281365671. The reversal of 102575281365648 is 846563182575201.

102575281365648 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 52 + 8 + 13 + 6 + 564 + 8 = 666.

It is a super-3 number, since 3×102575281365648³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872706948 + ... + 872824476.

Almost surely, 2^{102575281365648} is an apocalyptic number.

102575281365648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102575281365648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182412840803200).

102575281365648 is an abundant number, since it is smaller than the sum of its proper divisors (262250400240752).

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

102575281365648 is a wasteful number, since it uses less digits than its factorization.

102575281365648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117864 (or 117703 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 102575281365648 in words is "one hundred two trillion, five hundred seventy-five billion, two hundred eighty-one million, three hundred sixty-five thousand, six hundred forty-eight".