13997333952 has 560 divisors, whose sum is σ = 50275906560. Its totient is φ = 3765823488.

The previous prime is 13997333927. The next prime is 13997333963. The reversal of 13997333952 is 25933379931.

13997333952 is a `hidden beast` number, since 139 + 97 + 33 + 395 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49460403 + ... + 49460685.

Almost surely, 2^13997333952 is an apocalyptic number.

13997333952 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 13997333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137953280).

13997333952 is an abundant number, since it is smaller than the sum of its proper divisors (36278572608).

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

13997333952 is a wasteful number, since it uses less digits than its factorization.

13997333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its digits is 4133430, while the sum is 54.

The spelling of 13997333952 in words is "thirteen billion, nine hundred ninety-seven million, three hundred thirty-three thousand, nine hundred fifty-two".