15138211968 has 384 divisors, whose sum is σ = 49521326400. Its totient is φ = 4398243840.

The previous prime is 15138211951. The next prime is 15138211993. The reversal of 15138211968 is 86911283151.

15138211968 is a `hidden beast` number, since 151 + 382 + 119 + 6 + 8 = 666.

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

Its product of digits (103680) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38915518 + ... + 38915906.

Almost surely, 2^15138211968 is an apocalyptic number.

15138211968 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 15138211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760663200).

15138211968 is an abundant number, since it is smaller than the sum of its proper divisors (34383114432).

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

15138211968 is a wasteful number, since it uses less digits than its factorization.

15138211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 15138211968 in words is "fifteen billion, one hundred thirty-eight million, two hundred eleven thousand, nine hundred sixty-eight".