106685553474864 has 240 divisors, whose sum is σ = 386813118764800. Its totient is φ = 26655962402304.

The previous prime is 106685553474817. The next prime is 106685553474917. The reversal of 106685553474864 is 468474355586601.

106685553474864 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 5 + 5 + 534 + 7 + 4 + 86 + 4 = 666.

It is a super-2 number, since 2×106685553474864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106685553474792 and 106685553474801.

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, 213999694 + ... + 214497645.

Almost surely, 2^{106685553474864} is an apocalyptic number.

106685553474864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106685553474864 is an abundant number, since it is smaller than the sum of its proper divisors (280127565289936).

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

106685553474864 is a wasteful number, since it uses less digits than its factorization.

106685553474864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428497392 (or 428497383 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 106685553474864 in words is "one hundred six trillion, six hundred eighty-five billion, five hundred fifty-three million, four hundred seventy-four thousand, eight hundred sixty-four".