990959329152 has 640 divisors, whose sum is σ = 3326777213760. Its totient is φ = 290532261888.

The previous prime is 990959329141. The next prime is 990959329229. The reversal of 990959329152 is 251923959099.

990959329152 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 593 + 29 + 15 + 2 = 666.

It is a super-3 number, since 3×990959329152³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 990959329152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1156311508 + ... + 1156312364.

Almost surely, 2^990959329152 is an apocalyptic number.

990959329152 is a gapful number since it is divisible by the number (92) 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 990959329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663388606880).

990959329152 is an abundant number, since it is smaller than the sum of its proper divisors (2335817884608).

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

990959329152 is a wasteful number, since it uses less digits than its factorization.

990959329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 17714700, while the sum is 63.

The spelling of 990959329152 in words is "nine hundred ninety billion, nine hundred fifty-nine million, three hundred twenty-nine thousand, one hundred fifty-two".