20935091385144 has 192 divisors, whose sum is σ = 63276397516800. Its totient is φ = 6221743976448.

The previous prime is 20935091384969. The next prime is 20935091385191. The reversal of 20935091385144 is 44158319053902.

20935091385144 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 5 + 0 + 91 + 38 + 514 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 3682744 + ... + 7445319.

It is an arithmetic number, because the mean of its divisors is an integer number (329564570400).

Almost surely, 2^{20935091385144} is an apocalyptic number.

20935091385144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20935091385144 is an abundant number, since it is smaller than the sum of its proper divisors (42341306131656).

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

20935091385144 is a wasteful number, since it uses less digits than its factorization.

20935091385144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128174 (or 11128167 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 20935091385144 in words is "twenty trillion, nine hundred thirty-five billion, ninety-one million, three hundred eighty-five thousand, one hundred forty-four".