15146352972828 has 144 divisors (see below), whose sum is σ = 47763678703104. Its totient is φ = 3931668385920.

The previous prime is 15146352972767. The next prime is 15146352972841. The reversal of 15146352972828 is 82827925364151.

It is a happy number.

15146352972828 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 63 + 5 + 297 + 282 + 8 = 666.

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

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, 2754526 + ... + 6154682.

It is an arithmetic number, because the mean of its divisors is an integer number (331692213216).

Almost surely, 2^{15146352972828} is an apocalyptic number.

15146352972828 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 15146352972828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881839351552).

15146352972828 is an abundant number, since it is smaller than the sum of its proper divisors (32617325730276).

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

15146352972828 is a wasteful number, since it uses less digits than its factorization.

15146352972828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401792 (or 3401787 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 15146352972828 in words is "fifteen trillion, one hundred forty-six billion, three hundred fifty-two million, nine hundred seventy-two thousand, eight hundred twenty-eight".