1147514816 has 56 divisors (see below), whose sum is σ = 2635422720. Its totient is φ = 485551872.

The previous prime is 1147514803. The next prime is 1147514839. The reversal of 1147514816 is 6184157411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1147514816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19181 + ... + 51603.

It is an arithmetic number, because the mean of its divisors is an integer number (47061120).

Almost surely, 2^1147514816 is an apocalyptic number.

1147514816 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 1147514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317711360).

1147514816 is an abundant number, since it is smaller than the sum of its proper divisors (1487907904).

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

1147514816 is an equidigital number, since it uses as much as digits as its factorization.

1147514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32521 (or 32511 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 1147514816 is about 33874.9880590385. The cubic root of 1147514816 is about 1046.9343128447.

The spelling of 1147514816 in words is "one billion, one hundred forty-seven million, five hundred fourteen thousand, eight hundred sixteen".