1819977198624 has 960 divisors, whose sum is σ = 6254455616640. Its totient is φ = 514186444800.

The previous prime is 1819977198601. The next prime is 1819977198659. The reversal of 1819977198624 is 4268917799181.

It is a super-2 number, since 2×1819977198624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4802050467 + ... + 4802050845.

It is an arithmetic number, because the mean of its divisors is an integer number (6515057934).

Almost surely, 2^{1819977198624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819977198624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127227808320).

1819977198624 is an abundant number, since it is smaller than the sum of its proper divisors (4434478418016).

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

1819977198624 is a wasteful number, since it uses less digits than its factorization.

1819977198624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 72.

The spelling of 1819977198624 in words is "one trillion, eight hundred nineteen billion, nine hundred seventy-seven million, one hundred ninety-eight thousand, six hundred twenty-four".