15347920964376 has 384 divisors, whose sum is σ = 54245657491200. Its totient is φ = 3552929694720.

The previous prime is 15347920964359. The next prime is 15347920964377. The reversal of 15347920964376 is 67346902974351.

It is a super-2 number, since 2×15347920964376² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15347920964377) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3303331 + ... + 6450413.

It is an arithmetic number, because the mean of its divisors is an integer number (141264733050).

Almost surely, 2^{15347920964376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15347920964376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27122828745600).

15347920964376 is an abundant number, since it is smaller than the sum of its proper divisors (38897736526824).

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

15347920964376 is a wasteful number, since it uses less digits than its factorization.

15347920964376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147159 (or 3147148 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 15347920964376 in words is "fifteen trillion, three hundred forty-seven billion, nine hundred twenty million, nine hundred sixty-four thousand, three hundred seventy-six".