1364357952 has 112 divisors (see below), whose sum is σ = 4043192320. Its totient is φ = 451132416.

The previous prime is 1364357941. The next prime is 1364357987. The reversal of 1364357952 is 2597534631.

1364357952 is a `hidden beast` number, since 1 + 36 + 43 + 579 + 5 + 2 = 666.

It is a super-2 number, since 2×1364357952² = 3722945242371268608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1364357898 and 1364357907.

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, 216348 + ... + 222564.

Almost surely, 2^1364357952 is an apocalyptic number.

1364357952 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 1364357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021596160).

1364357952 is an abundant number, since it is smaller than the sum of its proper divisors (2678834368).

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

1364357952 is a wasteful number, since it uses less digits than its factorization.

1364357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6349 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 1364357952 is about 36937.2163542409. The cubic root of 1364357952 is about 1109.1137996041.

The spelling of 1364357952 in words is "one billion, three hundred sixty-four million, three hundred fifty-seven thousand, nine hundred fifty-two".