15364061012664 has 192 divisors, whose sum is σ = 51292706250240. Its totient is φ = 4045796087040.

The previous prime is 15364061012659. The next prime is 15364061012731. The reversal of 15364061012664 is 46621016046351.

15364061012664 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 4 + 0 + 610 + 1 + 26 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426979 + ... + 6051309.

It is an arithmetic number, because the mean of its divisors is an integer number (267149511720).

Almost surely, 2^{15364061012664} is an apocalyptic number.

15364061012664 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 15364061012664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646353125120).

15364061012664 is an abundant number, since it is smaller than the sum of its proper divisors (35928645237576).

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

15364061012664 is a wasteful number, since it uses less digits than its factorization.

15364061012664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625010 (or 3625003 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 15364061012664 in words is "fifteen trillion, three hundred sixty-four billion, sixty-one million, twelve thousand, six hundred sixty-four".