109990574489376 has 768 divisors, whose sum is σ = 394324277760000. Its totient is φ = 29732857297920.

The previous prime is 109990574489353. The next prime is 109990574489413. The reversal of 109990574489376 is 673984475099901.

109990574489376 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 0 + 574 + 4 + 8 + 9 + 37 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 109990574489295 and 109990574489304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4431339046 + ... + 4431363866.

It is an arithmetic number, because the mean of its divisors is an integer number (513443070000).

Almost surely, 2^{109990574489376} is an apocalyptic number.

109990574489376 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 109990574489376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197162138880000).

109990574489376 is an abundant number, since it is smaller than the sum of its proper divisors (284333703270624).

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

109990574489376 is a wasteful number, since it uses less digits than its factorization.

109990574489376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25667 (or 25639 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 109990574489376 in words is "one hundred nine trillion, nine hundred ninety billion, five hundred seventy-four million, four hundred eighty-nine thousand, three hundred seventy-six".