151681683456 has 260 divisors, whose sum is σ = 479788906212. Its totient is φ = 47584641024.

The previous prime is 151681683449. The next prime is 151681683497. The reversal of 151681683456 is 654386186151.

151681683456 is a `hidden beast` number, since 1 + 51 + 6 + 81 + 68 + 3 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133359353856 + 18322329600 = 365184^2 + 135360^2 .

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 19 ways as a sum of consecutive naturals, for example, 5626746 + ... + 5653638.

Almost surely, 2^151681683456 is an apocalyptic number.

151681683456 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 151681683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239894453106).

151681683456 is an abundant number, since it is smaller than the sum of its proper divisors (328107222756).

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

151681683456 is an equidigital number, since it uses as much as digits as its factorization.

151681683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946 (or 26915 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 151681683456 in words is "one hundred fifty-one billion, six hundred eighty-one million, six hundred eighty-three thousand, four hundred fifty-six".