153661118688 has 480 divisors, whose sum is σ = 575446975488. Its totient is φ = 39060403200.

The previous prime is 153661118651. The next prime is 153661118693. The reversal of 153661118688 is 886811166351.

It is a happy number.

153661118688 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 611 + 18 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×153661118688² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9372258 + ... + 9388638.

Almost surely, 2^153661118688 is an apocalyptic number.

153661118688 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 153661118688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287723487744).

153661118688 is an abundant number, since it is smaller than the sum of its proper divisors (421785856800).

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

153661118688 is a wasteful number, since it uses less digits than its factorization.

153661118688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16451 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 153661118688 in words is "one hundred fifty-three billion, six hundred sixty-one million, one hundred eighteen thousand, six hundred eighty-eight".