949921316352 has 320 divisors, whose sum is σ = 2846288808000. Its totient is φ = 312785141760.

The previous prime is 949921316341. The next prime is 949921316359. The reversal of 949921316352 is 253613129949.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949921316359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405774702 + ... + 405777042.

It is an arithmetic number, because the mean of its divisors is an integer number (8894652525).

Almost surely, 2^949921316352 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 949921316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423144404000).

949921316352 is an abundant number, since it is smaller than the sum of its proper divisors (1896367491648).

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

949921316352 is a wasteful number, since it uses less digits than its factorization.

949921316352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2692 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

It can be divided in two parts, 94992 and 1316352, that added together give a square (1411344 = 1188²).

The spelling of 949921316352 in words is "nine hundred forty-nine billion, nine hundred twenty-one million, three hundred sixteen thousand, three hundred fifty-two".