15164404416 has 448 divisors, whose sum is σ = 54063554560. Its totient is φ = 4075868160.

The previous prime is 15164404349. The next prime is 15164404417. The reversal of 15164404416 is 61440446151.

15164404416 is a `hidden beast` number, since 1 + 5 + 1 + 644 + 0 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×15164404416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15164404417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13873566 + ... + 13874658.

Almost surely, 2^15164404416 is an apocalyptic number.

15164404416 is a gapful number since it is divisible by the number (16) 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 15164404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031777280).

15164404416 is an abundant number, since it is smaller than the sum of its proper divisors (38899150144).

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

15164404416 is a wasteful number, since it uses less digits than its factorization.

15164404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 15164404416 in words is "fifteen billion, one hundred sixty-four million, four hundred four thousand, four hundred sixteen".