152953328360448 has 3960 divisors, whose sum is σ = 615289699368960. Its totient is φ = 37661021798400.

The previous prime is 152953328360323. The next prime is 152953328360453. The reversal of 152953328360448 is 844063823359251.

152953328360448 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 53 + 3 + 2 + 83 + 60 + 448 = 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 359 ways as a sum of consecutive naturals, for example, 1204356916161 + ... + 1204356916287.

Almost surely, 2^{152953328360448} is an apocalyptic number.

152953328360448 is a gapful number since it is divisible by the number (18) 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 152953328360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307644849684480).

152953328360448 is an abundant number, since it is smaller than the sum of its proper divisors (462336371008512).

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

152953328360448 is a wasteful number, since it uses less digits than its factorization.

152953328360448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 152953328360448 in words is "one hundred fifty-two trillion, nine hundred fifty-three billion, three hundred twenty-eight million, three hundred sixty thousand, four hundred forty-eight".