15613665948 has 240 divisors, whose sum is σ = 44054841600. Its totient is φ = 4807434240.

The previous prime is 15613665941. The next prime is 15613665971. The reversal of 15613665948 is 84956631651.

15613665948 is a `hidden beast` number, since 1 + 561 + 36 + 6 + 5 + 9 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15613665894 and 15613665903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15613665941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60753436 + ... + 60753692.

It is an arithmetic number, because the mean of its divisors is an integer number (183561840).

Almost surely, 2^15613665948 is an apocalyptic number.

15613665948 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 15613665948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027420800).

15613665948 is an abundant number, since it is smaller than the sum of its proper divisors (28441175652).

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

15613665948 is a wasteful number, since it uses less digits than its factorization.

15613665948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 15613665948 in words is "fifteen billion, six hundred thirteen million, six hundred sixty-five thousand, nine hundred forty-eight".