13357733841972 has 192 divisors, whose sum is σ = 37943112211200. Its totient is φ = 4038716505600.

The previous prime is 13357733841941. The next prime is 13357733841983. The reversal of 13357733841972 is 27914833775331.

13357733841972 is a `hidden beast` number, since 1 + 3 + 3 + 57 + 73 + 38 + 419 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205152222 + ... + 205217322.

It is an arithmetic number, because the mean of its divisors is an integer number (197620376100).

Almost surely, 2^{13357733841972} is an apocalyptic number.

13357733841972 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 13357733841972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971556105600).

13357733841972 is an abundant number, since it is smaller than the sum of its proper divisors (24585378369228).

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

13357733841972 is a wasteful number, since it uses less digits than its factorization.

13357733841972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67663 (or 67655 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 13357733841972 in words is "thirteen trillion, three hundred fifty-seven billion, seven hundred thirty-three million, eight hundred forty-one thousand, nine hundred seventy-two".