18291615479040 has 576 divisors, whose sum is σ = 66870707984640. Its totient is φ = 4231656898560.

The previous prime is 18291615479009. The next prime is 18291615479101. The reversal of 18291615479040 is 4097451619281.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 45692550 + ... + 46091130.

It is an arithmetic number, because the mean of its divisors is an integer number (116094979140).

Almost surely, 2^{18291615479040} is an apocalyptic number.

18291615479040 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 18291615479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33435353992320).

18291615479040 is an abundant number, since it is smaller than the sum of its proper divisors (48579092505600).

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

18291615479040 is a wasteful number, since it uses less digits than its factorization.

18291615479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398678 (or 398664 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 18291615479040 in words is "eighteen trillion, two hundred ninety-one billion, six hundred fifteen million, four hundred seventy-nine thousand, forty".