378922508628624 has 135 divisors (see below), whose sum is σ = 1071126961940347. Its totient is φ = 125049147168000.

The previous prime is 378922508628617. The next prime is 378922508628749. The reversal of 378922508628624 is 426826805229873.

The square root of 378922508628624 is 19465932.

It is a perfect power (a square), and thus also a powerful number.

378922508628624 is a `hidden beast` number, since 3 + 7 + 8 + 92 + 2 + 508 + 6 + 2 + 8 + 6 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3691516654224 + 375230991974400 = 1921332^2 + 19370880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23592701554 + ... + 23592717614.

Almost surely, 2^{378922508628624} is an apocalyptic number.

378922508628624 is the 19465932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378922508628624

378922508628624 is an abundant number, since it is smaller than the sum of its proper divisors (692204453311723).

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

378922508628624 is an frugal number, since it uses more digits than its factorization.

378922508628624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32338 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 378922508628624 in words is "three hundred seventy-eight trillion, nine hundred twenty-two billion, five hundred eight million, six hundred twenty-eight thousand, six hundred twenty-four".