10389114193536 has 384 divisors, whose sum is σ = 33650918246400. Its totient is φ = 3171464368128.

The previous prime is 10389114193519. The next prime is 10389114193541. The reversal of 10389114193536 is 63539141198301.

10389114193536 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 1 + 14 + 1 + 93 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51251550 + ... + 51453858.

It is an arithmetic number, because the mean of its divisors is an integer number (87632599600).

Almost surely, 2^{10389114193536} is an apocalyptic number.

10389114193536 is a gapful number since it is divisible by the number (16) 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 10389114193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825459123200).

10389114193536 is an abundant number, since it is smaller than the sum of its proper divisors (23261804052864).

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

10389114193536 is a wasteful number, since it uses less digits than its factorization.

10389114193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202478 (or 202454 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10389114193536 in words is "ten trillion, three hundred eighty-nine billion, one hundred fourteen million, one hundred ninety-three thousand, five hundred thirty-six".