1913415264 has 192 divisors, whose sum is σ = 5907686400. Its totient is φ = 601261056.

The previous prime is 1913415239. The next prime is 1913415269. The reversal of 1913415264 is 4625143191.

It is a happy number.

1913415264 is a `hidden beast` number, since 1 + 91 + 3 + 41 + 526 + 4 = 666.

It is a super-2 number, since 2×1913415264² = 7322315945016379392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913415269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449997 + ... + 1451315.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 2^1913415264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913415264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953843200).

1913415264 is an abundant number, since it is smaller than the sum of its proper divisors (3994271136).

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

1913415264 is a wasteful number, since it uses less digits than its factorization.

1913415264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1913415264 is about 43742.6023917188. The cubic root of 1913415264 is about 1241.4705204170.

The spelling of 1913415264 in words is "one billion, nine hundred thirteen million, four hundred fifteen thousand, two hundred sixty-four".