153849099156480 has 1056 divisors, whose sum is σ = 657936324864000. Its totient is φ = 32369733402624.

The previous prime is 153849099156463. The next prime is 153849099156517. The reversal of 153849099156480 is 84651990948351.

153849099156480 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 4 + 9 + 0 + 9 + 91 + 56 + 480 = 666.

It is a super-3 number, since 3×153849099156480³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 153849099156399 and 153849099156408.

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 95 ways as a sum of consecutive naturals, for example, 1505336421 + ... + 1505438619.

Almost surely, 2^{153849099156480} is an apocalyptic number.

153849099156480 is a gapful number since it is divisible by the number (10) 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 153849099156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328968162432000).

153849099156480 is an abundant number, since it is smaller than the sum of its proper divisors (504087225707520).

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

153849099156480 is a wasteful number, since it uses less digits than its factorization.

153849099156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102609 (or 102588 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 153849099156480 in words is "one hundred fifty-three trillion, eight hundred forty-nine billion, ninety-nine million, one hundred fifty-six thousand, four hundred eighty".