153379083551616 has 2560 divisors, whose sum is σ = 560482526419200. Its totient is φ = 41149481877504.

The previous prime is 153379083551581. The next prime is 153379083551671. The reversal of 153379083551616 is 616155380973351.

153379083551616 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 7 + 9 + 0 + 8 + 3 + 5 + 5 + 1 + 616 = 666.

It is a super-2 number, since 2×153379083551616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 248588465740 + ... + 248588466356.

Almost surely, 2^{153379083551616} is an apocalyptic number.

153379083551616 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 153379083551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280241263209600).

153379083551616 is an abundant number, since it is smaller than the sum of its proper divisors (407103442867584).

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

153379083551616 is a wasteful number, since it uses less digits than its factorization.

153379083551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 153379083551616 in words is "one hundred fifty-three trillion, three hundred seventy-nine billion, eighty-three million, five hundred fifty-one thousand, six hundred sixteen".