18145242972 has 192 divisors, whose sum is σ = 50299110400. Its totient is φ = 5640710400.

The previous prime is 18145242959. The next prime is 18145243019. The reversal of 18145242972 is 27924254181.

18145242972 is a `hidden beast` number, since 18 + 145 + 2 + 429 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48646578 + ... + 48646950.

Almost surely, 2^18145242972 is an apocalyptic number.

18145242972 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 18145242972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149555200).

18145242972 is an abundant number, since it is smaller than the sum of its proper divisors (32153867428).

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

18145242972 is a wasteful number, since it uses less digits than its factorization.

18145242972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 18145242972 in words is "eighteen billion, one hundred forty-five million, two hundred forty-two thousand, nine hundred seventy-two".