988657104645 has 288 divisors, whose sum is σ = 2131901815680. Its totient is φ = 421382062080.

The previous prime is 988657104637. The next prime is 988657104653. The reversal of 988657104645 is 546401756889.

988657104645 is a `hidden beast` number, since 98 + 86 + 5 + 7 + 1 + 0 + 464 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (988657104637) and next prime (988657104653).

It is not a de Polignac number, because 988657104645 - 2³ = 988657104637 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 857464389 + ... + 857465541.

It is an arithmetic number, because the mean of its divisors is an integer number (7402436860).

Almost surely, 2^988657104645 is an apocalyptic number.

988657104645 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

988657104645 is an abundant number, since it is smaller than the sum of its proper divisors (1143244711035).

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

988657104645 is a wasteful number, since it uses less digits than its factorization.

988657104645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 988657104645 in words is "nine hundred eighty-eight billion, six hundred fifty-seven million, one hundred four thousand, six hundred forty-five".