391642159104 has 1152 divisors, whose sum is σ = 1449082252800. Its totient is φ = 103195607040.

The previous prime is 391642159061. The next prime is 391642159109. The reversal of 391642159104 is 401951246193.

391642159104 is a `hidden beast` number, since 3 + 9 + 16 + 42 + 1 + 591 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 391642159104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391642159109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4037547984 + ... + 4037548080.

It is an arithmetic number, because the mean of its divisors is an integer number (1257883900).

Almost surely, 2^391642159104 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 391642159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724541126400).

391642159104 is an abundant number, since it is smaller than the sum of its proper divisors (1057440093696).

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

391642159104 is an equidigital number, since it uses as much as digits as its factorization.

391642159104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 391642159104 in words is "three hundred ninety-one billion, six hundred forty-two million, one hundred fifty-nine thousand, one hundred four".