15242946264 has 576 divisors, whose sum is σ = 54495866880. Its totient is φ = 3810240000.

The previous prime is 15242946223. The next prime is 15242946307. The reversal of 15242946264 is 46264924251.

It is a happy number.

15242946264 is a `hidden beast` number, since 1 + 524 + 2 + 9 + 4 + 62 + 64 = 666.

15242946264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 100946589 + ... + 100946739.

It is an arithmetic number, because the mean of its divisors is an integer number (94610880).

Almost surely, 2^15242946264 is an apocalyptic number.

15242946264 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 15242946264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27247933440).

15242946264 is an abundant number, since it is smaller than the sum of its proper divisors (39252920616).

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

15242946264 is a wasteful number, since it uses less digits than its factorization.

15242946264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 15242946264 in words is "fifteen billion, two hundred forty-two million, nine hundred forty-six thousand, two hundred sixty-four".