153198314496 has 440 divisors, whose sum is σ = 493511393760. Its totient is φ = 47178547200.

The previous prime is 153198314483. The next prime is 153198314513. The reversal of 153198314496 is 694413891351.

153198314496 is a `hidden beast` number, since 1 + 5 + 3 + 198 + 3 + 1 + 449 + 6 = 666.

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

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, 64612191 + ... + 64614561.

It is an arithmetic number, because the mean of its divisors is an integer number (1121616804).

Almost surely, 2^153198314496 is an apocalyptic number.

153198314496 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 153198314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246755696880).

153198314496 is an abundant number, since it is smaller than the sum of its proper divisors (340313079264).

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

153198314496 is a wasteful number, since it uses less digits than its factorization.

153198314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2436 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 153198314496 in words is "one hundred fifty-three billion, one hundred ninety-eight million, three hundred fourteen thousand, four hundred ninety-six".