151948468224 has 336 divisors, whose sum is σ = 504238857408. Its totient is φ = 43189272576.

The previous prime is 151948468193. The next prime is 151948468249. The reversal of 151948468224 is 422864849151.

151948468224 is a `hidden beast` number, since 1 + 519 + 4 + 8 + 46 + 82 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (4423680) is a multiple of the sum of its prime divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117153144 + ... + 117154440.

Almost surely, 2^151948468224 is an apocalyptic number.

151948468224 is a gapful number since it is divisible by the number (14) 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 151948468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252119428704).

151948468224 is an abundant number, since it is smaller than the sum of its proper divisors (352290389184).

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

151948468224 is a wasteful number, since it uses less digits than its factorization.

151948468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1536 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 151948468224 in words is "one hundred fifty-one billion, nine hundred forty-eight million, four hundred sixty-eight thousand, two hundred twenty-four".