949125364992 has 360 divisors, whose sum is σ = 3274381548480. Its totient is φ = 271173934080.

The previous prime is 949125364937. The next prime is 949125365003. The reversal of 949125364992 is 299463521949.

949125364992 is a `hidden beast` number, since 9 + 4 + 9 + 1 + 2 + 536 + 4 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16567117 + ... + 16624307.

Almost surely, 2^949125364992 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 949125364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637190774240).

949125364992 is an abundant number, since it is smaller than the sum of its proper divisors (2325256183488).

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

949125364992 is an frugal number, since it uses more digits than its factorization.

949125364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57244 (or 57203 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 949125364992 in words is "nine hundred forty-nine billion, one hundred twenty-five million, three hundred sixty-four thousand, nine hundred ninety-two".