153661390848 has 900 divisors, whose sum is σ = 569504877480. Its totient is φ = 41023438848.

The previous prime is 153661390843. The next prime is 153661390849. The reversal of 153661390848 is 848093166351.

153661390848 is a `hidden beast` number, since 1 + 536 + 6 + 13 + 90 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×153661390848² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 153661390794 and 153661390803.

It is not an unprimeable number, because it can be changed into a prime (153661390843) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1105477563 + ... + 1105477701.

Almost surely, 2^153661390848 is an apocalyptic number.

153661390848 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 153661390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284752438740).

153661390848 is an abundant number, since it is smaller than the sum of its proper divisors (415843486632).

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

153661390848 is an equidigital number, since it uses as much as digits as its factorization.

153661390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 153661390848 in words is "one hundred fifty-three billion, six hundred sixty-one million, three hundred ninety thousand, eight hundred forty-eight".