1145922624 has 252 divisors, whose sum is σ = 4169316528. Its totient is φ = 297561600.

The previous prime is 1145922611. The next prime is 1145922647. The reversal of 1145922624 is 4262295411.

It is a happy number.

1145922624 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308619 + ... + 312309.

Almost surely, 2^1145922624 is an apocalyptic number.

1145922624 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 1145922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084658264).

1145922624 is an abundant number, since it is smaller than the sum of its proper divisors (3023393904).

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

1145922624 is a wasteful number, since it uses less digits than its factorization.

1145922624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3714 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1145922624 is about 33851.4789041779. The cubic root of 1145922624 is about 1046.4498769818.

The spelling of 1145922624 in words is "one billion, one hundred forty-five million, nine hundred twenty-two thousand, six hundred twenty-four".