151461484896 has 192 divisors, whose sum is σ = 430513574400. Its totient is φ = 46481842176.

The previous prime is 151461484877. The next prime is 151461484901. The reversal of 151461484896 is 698484164151.

It is a super-2 number, since 2×151461484896² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 21575275 + ... + 21582293.

It is an arithmetic number, because the mean of its divisors is an integer number (2242258200).

Almost surely, 2^151461484896 is an apocalyptic number.

151461484896 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 151461484896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215256787200).

151461484896 is an abundant number, since it is smaller than the sum of its proper divisors (279052089504).

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

151461484896 is a wasteful number, since it uses less digits than its factorization.

151461484896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7413 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 151461484896 in words is "one hundred fifty-one billion, four hundred sixty-one million, four hundred eighty-four thousand, eight hundred ninety-six".