15034003164 has 144 divisors (see below), whose sum is σ = 41268921120. Its totient is φ = 4730054400.

The previous prime is 15034003151. The next prime is 15034003211. The reversal of 15034003164 is 46130043051.

15034003164 is a `hidden beast` number, since 1 + 5 + 0 + 340 + 0 + 316 + 4 = 666.

It is a super-2 number, since 2×15034003164² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4253542 + ... + 4257074.

It is an arithmetic number, because the mean of its divisors is an integer number (286589730).

Almost surely, 2^15034003164 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 15034003164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634460560).

15034003164 is an abundant number, since it is smaller than the sum of its proper divisors (26234917956).

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

15034003164 is a wasteful number, since it uses less digits than its factorization.

15034003164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 15034003164 in words is "fifteen billion, thirty-four million, three thousand, one hundred sixty-four".