153084683856 has 240 divisors, whose sum is σ = 461657785344. Its totient is φ = 43415460864.

The previous prime is 153084683831. The next prime is 153084683897. The reversal of 153084683856 is 658386480351.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 153084683796 and 153084683805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8325585 + ... + 8343951.

Almost surely, 2^153084683856 is an apocalyptic number.

153084683856 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 153084683856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230828892672).

153084683856 is an abundant number, since it is smaller than the sum of its proper divisors (308573101488).

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

153084683856 is a wasteful number, since it uses less digits than its factorization.

153084683856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 153084683856 in words is "one hundred fifty-three billion, eighty-four million, six hundred eighty-three thousand, eight hundred fifty-six".