108322149407472 has 4800 divisors, whose sum is σ = 486588506342400. Its totient is φ = 22326799564800.

The previous prime is 108322149407443. The next prime is 108322149407579. The reversal of 108322149407472 is 274704941223801.

108322149407472 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 22 + 149 + 4 + 0 + 7 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 959 ways as a sum of consecutive naturals, for example, 402684570154 + ... + 402684570422.

It is an arithmetic number, because the mean of its divisors is an integer number (101372605488).

Almost surely, 2^{108322149407472} is an apocalyptic number.

108322149407472 is a gapful number since it is divisible by the number (12) 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 108322149407472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243294253171200).

108322149407472 is an abundant number, since it is smaller than the sum of its proper divisors (378266356934928).

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

108322149407472 is a wasteful number, since it uses less digits than its factorization.

108322149407472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 108322149407472 in words is "one hundred eight trillion, three hundred twenty-two billion, one hundred forty-nine million, four hundred seven thousand, four hundred seventy-two".