8142954624 has 160 divisors (see below), whose sum is σ = 27695448000. Its totient is φ = 2326537728.

The previous prime is 8142954623. The next prime is 8142954637. The reversal of 8142954624 is 4264592418.

It is a happy number.

8142954624 is a `hidden beast` number, since 8 + 14 + 2 + 9 + 5 + 4 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8142954624.

It is not an unprimeable number, because it can be changed into a prime (8142954623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16477 + ... + 128675.

It is an arithmetic number, because the mean of its divisors is an integer number (173096550).

Almost surely, 2^8142954624 is an apocalyptic number.

8142954624 is a gapful number since it is divisible by the number (84) 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 8142954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847724000).

8142954624 is an abundant number, since it is smaller than the sum of its proper divisors (19552493376).

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

8142954624 is a wasteful number, since it uses less digits than its factorization.

8142954624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112232 (or 112211 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 8142954624 is about 90238.3212609809. The cubic root of 8142954624 is about 2011.8426230644.

The spelling of 8142954624 in words is "eight billion, one hundred forty-two million, nine hundred fifty-four thousand, six hundred twenty-four".