102233864095776 has 144 divisors (see below), whose sum is σ = 332270156522304. Its totient is φ = 29208787702272.

The previous prime is 102233864095747. The next prime is 102233864095799. The reversal of 102233864095776 is 677590468332201.

It is a happy number.

102233864095776 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 33 + 86 + 409 + 57 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×102233864095776² (a number of 29 digits) contains 22 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 23 ways as a sum of consecutive naturals, for example, 67058391 + ... + 68565993.

It is an arithmetic number, because the mean of its divisors is an integer number (2307431642516).

It is a 1-persistent number, because it is pandigital, but 2⋅102233864095776 = 204467728191552 is not.

Almost surely, 2^{102233864095776} is an apocalyptic number.

102233864095776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102233864095776 is an abundant number, since it is smaller than the sum of its proper divisors (230036292426528).

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

102233864095776 is a wasteful number, since it uses less digits than its factorization.

102233864095776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541263 (or 1541252 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 102233864095776 in words is "one hundred two trillion, two hundred thirty-three billion, eight hundred sixty-four million, ninety-five thousand, seven hundred seventy-six".