31435233451104 has 192 divisors, whose sum is σ = 94430027059200. Its totient is φ = 8969660336640.

The previous prime is 31435233451073. The next prime is 31435233451129. The reversal of 31435233451104 is 40115433253413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4501676797 + ... + 4501683779.

It is an arithmetic number, because the mean of its divisors is an integer number (491823057600).

Almost surely, 2^{31435233451104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31435233451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47215013529600).

31435233451104 is an abundant number, since it is smaller than the sum of its proper divisors (62994793608096).

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

31435233451104 is a wasteful number, since it uses less digits than its factorization.

31435233451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14865 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 31435233451104 in words is "thirty-one trillion, four hundred thirty-five billion, two hundred thirty-three million, four hundred fifty-one thousand, one hundred four".