308860138800 has 480 divisors, whose sum is σ = 1121109672960. Its totient is φ = 80743219200.

The previous prime is 308860138759. The next prime is 308860138823. The reversal of 308860138800 is 8831068803.

308860138800 is a `hidden beast` number, since 3 + 0 + 8 + 8 + 601 + 38 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147991357 + ... + 147993443.

It is an arithmetic number, because the mean of its divisors is an integer number (2335645152).

Almost surely, 2^308860138800 is an apocalyptic number.

308860138800 is a gapful number since it is divisible by the number (30) 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 308860138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560554836480).

308860138800 is an abundant number, since it is smaller than the sum of its proper divisors (812249534160).

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

308860138800 is a wasteful number, since it uses less digits than its factorization.

308860138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 308860138800 in words is "three hundred eight billion, eight hundred sixty million, one hundred thirty-eight thousand, eight hundred".