153974859456 has 224 divisors, whose sum is σ = 459496972800. Its totient is φ = 45093888000.

The previous prime is 153974859427. The next prime is 153974859463. The reversal of 153974859456 is 654958479351.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11793220 + ... + 11806268.

Almost surely, 2^153974859456 is an apocalyptic number.

153974859456 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 153974859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229748486400).

153974859456 is an abundant number, since it is smaller than the sum of its proper divisors (305522113344).

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

153974859456 is a wasteful number, since it uses less digits than its factorization.

153974859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13253 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 66.

The spelling of 153974859456 in words is "one hundred fifty-three billion, nine hundred seventy-four million, eight hundred fifty-nine thousand, four hundred fifty-six".