1321514496 has 240 divisors, whose sum is σ = 4099496544. Its totient is φ = 408748032.

The previous prime is 1321514471. The next prime is 1321514497. The reversal of 1321514496 is 6944151231.

It is a happy number.

1321514496 is a `hidden beast` number, since 13 + 2 + 151 + 4 + 496 = 666.

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1321514496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321514497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921240 + ... + 3921576.

Almost surely, 2^1321514496 is an apocalyptic number.

1321514496 is a gapful number since it is divisible by the number (16) 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 1321514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049748272).

1321514496 is an abundant number, since it is smaller than the sum of its proper divisors (2777982048).

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

1321514496 is a wasteful number, since it uses less digits than its factorization.

1321514496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

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

The square root of 1321514496 is about 36352.6408394218. The cubic root of 1321514496 is about 1097.3806813308.

The spelling of 1321514496 in words is "one billion, three hundred twenty-one million, five hundred fourteen thousand, four hundred ninety-six".