17480942325 has 432 divisors, whose sum is σ = 43067868480. Its totient is φ = 6676992000.

The previous prime is 17480942261. The next prime is 17480942399. The reversal of 17480942325 is 52324908471.

It is not a de Polignac number, because 17480942325 - 2⁶ = 17480942261 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 125762106 + ... + 125762244.

It is an arithmetic number, because the mean of its divisors is an integer number (99694140).

Almost surely, 2^17480942325 is an apocalyptic number.

17480942325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17480942325 is an abundant number, since it is smaller than the sum of its proper divisors (25586926155).

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

17480942325 is a wasteful number, since it uses less digits than its factorization.

17480942325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 17480 and 942325, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 17480942325 in words is "seventeen billion, four hundred eighty million, nine hundred forty-two thousand, three hundred twenty-five".