249106091904 has 512 divisors, whose sum is σ = 810683596800. Its totient is φ = 75043584000.

The previous prime is 249106091893. The next prime is 249106091911. The reversal of 249106091904 is 409190601942.

249106091904 is a `hidden beast` number, since 24 + 9 + 1 + 0 + 609 + 19 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 249106091904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105956329 + ... + 105958679.

It is an arithmetic number, because the mean of its divisors is an integer number (1583366400).

Almost surely, 2^249106091904 is an apocalyptic number.

249106091904 is a gapful number since it is divisible by the number (24) 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 249106091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405341798400).

249106091904 is an abundant number, since it is smaller than the sum of its proper divisors (561577504896).

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

249106091904 is a wasteful number, since it uses less digits than its factorization.

249106091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 249106091904 in words is "two hundred forty-nine billion, one hundred six million, ninety-one thousand, nine hundred four".