13435991352 has 96 divisors (see below), whose sum is σ = 41624650080. Its totient is φ = 3835434240.

The previous prime is 13435991347. The next prime is 13435991369. The reversal of 13435991352 is 25319953431.

13435991352 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 599 + 1 + 3 + 52 = 666.

It is a super-2 number, since 2×13435991352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13435991298 and 13435991307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583938 + ... + 606510.

It is an arithmetic number, because the mean of its divisors is an integer number (433590105).

Almost surely, 2^13435991352 is an apocalyptic number.

13435991352 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 13435991352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812325040).

13435991352 is an abundant number, since it is smaller than the sum of its proper divisors (28188658728).

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

13435991352 is a wasteful number, since it uses less digits than its factorization.

13435991352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23773 (or 23766 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 13435991352 in words is "thirteen billion, four hundred thirty-five million, nine hundred ninety-one thousand, three hundred fifty-two".