153005949216 has 384 divisors, whose sum is σ = 465743416320. Its totient is φ = 49447895040.

The previous prime is 153005949209. The next prime is 153005949223. The reversal of 153005949216 is 612949500351.

153005949216 is a `hidden beast` number, since 1 + 5 + 30 + 0 + 594 + 9 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (153005949209) and next prime (153005949223).

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, 595353760 + ... + 595354016.

It is an arithmetic number, because the mean of its divisors is an integer number (1212873480).

Almost surely, 2^153005949216 is an apocalyptic number.

153005949216 is a gapful number since it is divisible by the number (16) 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 153005949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232871708160).

153005949216 is an abundant number, since it is smaller than the sum of its proper divisors (312737467104).

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

153005949216 is an equidigital number, since it uses as much as digits as its factorization.

153005949216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 153005949216 in words is "one hundred fifty-three billion, five million, nine hundred forty-nine thousand, two hundred sixteen".