151680468456 has 80 divisors (see below), whose sum is σ = 463468119840. Its totient is φ = 45963776160.

The previous prime is 151680468439. The next prime is 151680468473. The reversal of 151680468456 is 654864086151.

It is a happy number.

151680468456 is a `hidden beast` number, since 1 + 51 + 6 + 80 + 4 + 68 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (151680468439) and next prime (151680468473).

It is a super-2 number, since 2×151680468456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 10632636 + ... + 10646891.

It is an arithmetic number, because the mean of its divisors is an integer number (5793351498).

Almost surely, 2^151680468456 is an apocalyptic number.

It is an amenable number.

151680468456 is an abundant number, since it is smaller than the sum of its proper divisors (311787651384).

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

151680468456 is a wasteful number, since it uses less digits than its factorization.

151680468456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279556 (or 21279543 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 151680468456 in words is "one hundred fifty-one billion, six hundred eighty million, four hundred sixty-eight thousand, four hundred fifty-six".