103394418624 has 420 divisors, whose sum is σ = 357690282840. Its totient is φ = 29445534720.

The previous prime is 103394418623. The next prime is 103394418667. The reversal of 103394418624 is 426814493301.

103394418624 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 4 + 4 + 18 + 624 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 103394418624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103394418623) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 124721442 + ... + 124722270.

Almost surely, 2^103394418624 is an apocalyptic number.

103394418624 is a gapful number since it is divisible by the number (14) 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 103394418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178845141420).

103394418624 is an abundant number, since it is smaller than the sum of its proper divisors (254295864216).

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

103394418624 is an equidigital number, since it uses as much as digits as its factorization.

103394418624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 103394418624 in words is "one hundred three billion, three hundred ninety-four million, four hundred eighteen thousand, six hundred twenty-four".