901431092352 has 256 divisors, whose sum is σ = 2835352915200. Its totient is φ = 248370167808.

The previous prime is 901431092339. The next prime is 901431092423. The reversal of 901431092352 is 253290134109.

It is a self number, because there is not a number n which added to its sum of digits gives 901431092352.

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, 11198424 + ... + 11278632.

It is an arithmetic number, because the mean of its divisors is an integer number (11075597325).

Almost surely, 2^901431092352 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 901431092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417676457600).

901431092352 is an abundant number, since it is smaller than the sum of its proper divisors (1933921822848).

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

901431092352 is a wasteful number, since it uses less digits than its factorization.

901431092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80383 (or 80371 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 901431092352 in words is "nine hundred one billion, four hundred thirty-one million, ninety-two thousand, three hundred fifty-two".