151116392448 has 384 divisors, whose sum is σ = 519316761600. Its totient is φ = 42524393472.

The previous prime is 151116392443. The next prime is 151116392467. The reversal of 151116392448 is 844293611151.

151116392448 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 1 + 639 + 2 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (151116392443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25930911 + ... + 25936737.

It is an arithmetic number, because the mean of its divisors is an integer number (1352387400).

Almost surely, 2^151116392448 is an apocalyptic number.

151116392448 is a gapful number since it is divisible by the number (18) 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 151116392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259658380800).

151116392448 is an abundant number, since it is smaller than the sum of its proper divisors (368200369152).

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

151116392448 is an equidigital number, since it uses as much as digits as its factorization.

151116392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5906 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 151116392448 in words is "one hundred fifty-one billion, one hundred sixteen million, three hundred ninety-two thousand, four hundred forty-eight".