15945949656 has 576 divisors, whose sum is σ = 57164889600. Its totient is φ = 4126816512.

The previous prime is 15945949651. The next prime is 15945949661. The reversal of 15945949656 is 65694954951.

15945949656 is a `hidden beast` number, since 1 + 5 + 94 + 5 + 9 + 496 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (15945949651) and next prime (15945949661).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 15945949593 and 15945949602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15945949651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97827831 + ... + 97827993.

It is an arithmetic number, because the mean of its divisors is an integer number (99244600).

Almost surely, 2^15945949656 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 15945949656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28582444800).

15945949656 is an abundant number, since it is smaller than the sum of its proper divisors (41218939944).

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

15945949656 is a wasteful number, since it uses less digits than its factorization.

15945949656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 15945949656 in words is "fifteen billion, nine hundred forty-five million, nine hundred forty-nine thousand, six hundred fifty-six".