15140214669312 has 288 divisors, whose sum is σ = 47220972019200. Its totient is φ = 4781099188224.

The previous prime is 15140214669241. The next prime is 15140214669337. The reversal of 15140214669312 is 21396641204151.

15140214669312 is a `hidden beast` number, since 1 + 5 + 1 + 402 + 146 + 6 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×15140214669312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67127353 + ... + 67352519.

It is an arithmetic number, because the mean of its divisors is an integer number (163961708400).

Almost surely, 2^{15140214669312} is an apocalyptic number.

15140214669312 is a gapful number since it is divisible by the number (12) 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 15140214669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610486009600).

15140214669312 is an abundant number, since it is smaller than the sum of its proper divisors (32080757349888).

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

15140214669312 is an frugal number, since it uses more digits than its factorization.

15140214669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225229 (or 225191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 15140214669312 in words is "fifteen trillion, one hundred forty billion, two hundred fourteen million, six hundred sixty-nine thousand, three hundred twelve".