1349955264 has 112 divisors (see below), whose sum is σ = 4213815296. Its totient is φ = 373248000.

The previous prime is 1349955247. The next prime is 1349955281. The reversal of 1349955264 is 4625599431.

It is an interprime number because it is at equal distance from previous prime (1349955247) and next prime (1349955281).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25464 + ... + 57864.

Almost surely, 2^1349955264 is an apocalyptic number.

1349955264 is a gapful number since it is divisible by the number (14) 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 1349955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106907648).

1349955264 is an abundant number, since it is smaller than the sum of its proper divisors (2863860032).

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

1349955264 is a wasteful number, since it uses less digits than its factorization.

1349955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32454 (or 32444 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 1349955264 is about 36741.7373568534. The cubic root of 1349955264 is about 1105.1972413956.

The spelling of 1349955264 in words is "one billion, three hundred forty-nine million, nine hundred fifty-five thousand, two hundred sixty-four".