1998046638315 has 1024 divisors, whose sum is σ = 5177475072000. Its totient is φ = 706244935680.

The previous prime is 1998046638251. The next prime is 1998046638319. The reversal of 1998046638315 is 5138366408991.

1998046638315 is a `hidden beast` number, since 1 + 9 + 9 + 80 + 466 + 3 + 83 + 15 = 666.

It is not a de Polignac number, because 1998046638315 - 2⁶ = 1998046638251 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1998046638319) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 4551358866 + ... + 4551359304.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128000).

Almost surely, 2^{1998046638315} is an apocalyptic number.

1998046638315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1998046638315 is an abundant number, since it is smaller than the sum of its proper divisors (3179428433685).

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

1998046638315 is a wasteful number, since it uses less digits than its factorization.

1998046638315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1998046638315 in words is "one trillion, nine hundred ninety-eight billion, forty-six million, six hundred thirty-eight thousand, three hundred fifteen".