1988413264656 has 1440 divisors, whose sum is σ = 7562038498560. Its totient is φ = 495688273920.

The previous prime is 1988413264613. The next prime is 1988413264681. The reversal of 1988413264656 is 6564623148891.

1988413264656 is a `hidden beast` number, since 1 + 98 + 84 + 1 + 3 + 2 + 6 + 465 + 6 = 666.

It is a super-2 number, since 2×1988413264656² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1988413264593 and 1988413264602.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19304983101 + ... + 19304983203.

It is an arithmetic number, because the mean of its divisors is an integer number (5251415624).

Almost surely, 2^{1988413264656} is an apocalyptic number.

1988413264656 is a gapful number since it is divisible by the number (16) 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 1988413264656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781019249280).

1988413264656 is an abundant number, since it is smaller than the sum of its proper divisors (5573625233904).

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

1988413264656 is a wasteful number, since it uses less digits than its factorization.

1988413264656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 232 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1988413264656 in words is "one trillion, nine hundred eighty-eight billion, four hundred thirteen million, two hundred sixty-four thousand, six hundred fifty-six".