88690498100064 has 576 divisors, whose sum is σ = 295218489646080. Its totient is φ = 24736443863040.

The previous prime is 88690498100011. The next prime is 88690498100123. The reversal of 88690498100064 is 46000189409688.

88690498100064 is a `hidden beast` number, since 8 + 86 + 9 + 0 + 498 + 1 + 0 + 0 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88690498099974 and 88690498100010.

It is a congruent number.

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, 4458815559 + ... + 4458835449.

It is an arithmetic number, because the mean of its divisors is an integer number (512532100080).

Almost surely, 2^{88690498100064} is an apocalyptic number.

88690498100064 is a gapful number since it is divisible by the number (84) 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 88690498100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609244823040).

88690498100064 is an abundant number, since it is smaller than the sum of its proper divisors (206527991546016).

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

88690498100064 is a wasteful number, since it uses less digits than its factorization.

88690498100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20323 (or 20312 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 88690498100064 in words is "eighty-eight trillion, six hundred ninety billion, four hundred ninety-eight million, one hundred thousand, sixty-four".