90504856026414 has 32 divisors (see below), whose sum is σ = 201123342973440. Its totient is φ = 30168069238296.

The previous prime is 90504856026397. The next prime is 90504856026449. The reversal of 90504856026414 is 41462065840509.

It is a happy number.

90504856026414 is a `hidden beast` number, since 9 + 0 + 5 + 0 + 4 + 8 + 560 + 2 + 64 + 14 = 666.

It is a super-2 number, since 2×90504856026414² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695949 + ... + 13560455.

It is an arithmetic number, because the mean of its divisors is an integer number (6285104467920).

Almost surely, 2^{90504856026414} is an apocalyptic number.

90504856026414 is an abundant number, since it is smaller than the sum of its proper divisors (110618486947026).

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

90504856026414 is a wasteful number, since it uses less digits than its factorization.

90504856026414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005781 (or 12005775 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 90504856026414 in words is "ninety trillion, five hundred four billion, eight hundred fifty-six million, twenty-six thousand, four hundred fourteen".