153198355968 has 400 divisors, whose sum is σ = 529811045280. Its totient is φ = 43165384704.

The previous prime is 153198355967. The next prime is 153198355991. The reversal of 153198355968 is 869553891351.

153198355968 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 9 + 8 + 35 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153198355967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21188578 + ... + 21195806.

Almost surely, 2^153198355968 is an apocalyptic number.

153198355968 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 153198355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264905522640).

153198355968 is an abundant number, since it is smaller than the sum of its proper divisors (376612689312).

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

153198355968 is an frugal number, since it uses more digits than its factorization.

153198355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7314 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The spelling of 153198355968 in words is "one hundred fifty-three billion, one hundred ninety-eight million, three hundred fifty-five thousand, nine hundred sixty-eight".