1998292972032 has 640 divisors, whose sum is σ = 7017275865600. Its totient is φ = 549357355008.

The previous prime is 1998292972019. The next prime is 1998292972063. The reversal of 1998292972032 is 2302792928991.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 945712608 + ... + 945714720.

It is an arithmetic number, because the mean of its divisors is an integer number (10964493540).

Almost surely, 2^{1998292972032} is an apocalyptic number.

1998292972032 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 1998292972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508637932800).

1998292972032 is an abundant number, since it is smaller than the sum of its proper divisors (5018982893568).

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

1998292972032 is a wasteful number, since it uses less digits than its factorization.

1998292972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1998292972032 in words is "one trillion, nine hundred ninety-eight billion, two hundred ninety-two million, nine hundred seventy-two thousand, thirty-two".