108414245520 has 480 divisors, whose sum is σ = 441387677952. Its totient is φ = 23280058368.

The previous prime is 108414245519. The next prime is 108414245543. The reversal of 108414245520 is 25542414801.

108414245520 is a `hidden beast` number, since 1 + 0 + 84 + 1 + 4 + 24 + 552 + 0 = 666.

It is a super-4 number, since 4×108414245520⁴ (a number of 45 digits) contains 4444 as substring.

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 95 ways as a sum of consecutive naturals, for example, 75654724 + ... + 75656156.

Almost surely, 2^108414245520 is an apocalyptic number.

108414245520 is a gapful number since it is divisible by the number (10) 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 108414245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220693838976).

108414245520 is an abundant number, since it is smaller than the sum of its proper divisors (332973432432).

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

108414245520 is a wasteful number, since it uses less digits than its factorization.

108414245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 108414245520 in words is "one hundred eight billion, four hundred fourteen million, two hundred forty-five thousand, five hundred twenty".