906374954124 has 324 divisors, whose sum is σ = 2524234448736. Its totient is φ = 274035621888.

The previous prime is 906374954113. The next prime is 906374954129. The reversal of 906374954124 is 421459473609.

906374954124 is a `hidden beast` number, since 9 + 0 + 6 + 3 + 74 + 9 + 541 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (906374954129) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4600887994 + ... + 4600888190.

It is an arithmetic number, because the mean of its divisors is an integer number (7790847064).

Almost surely, 2^906374954124 is an apocalyptic number.

906374954124 is a gapful number since it is divisible by the number (94) 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 906374954124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262117224368).

906374954124 is an abundant number, since it is smaller than the sum of its proper divisors (1617859494612).

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

906374954124 is a wasteful number, since it uses less digits than its factorization.

906374954124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 906374954124 in words is "nine hundred six billion, three hundred seventy-four million, nine hundred fifty-four thousand, one hundred twenty-four".