11938658362488 has 256 divisors, whose sum is σ = 39398425920000. Its totient is φ = 3301961794560.

The previous prime is 11938658362469. The next prime is 11938658362567. The reversal of 11938658362488 is 88426385683911.

11938658362488 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 8 + 6 + 5 + 83 + 62 + 488 = 666.

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

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, 577603 + ... + 4920461.

It is an arithmetic number, because the mean of its divisors is an integer number (153900101250).

Almost surely, 2^{11938658362488} is an apocalyptic number.

11938658362488 is a gapful number since it is divisible by the number (18) 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 11938658362488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699212960000).

11938658362488 is an abundant number, since it is smaller than the sum of its proper divisors (27459767557512).

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

11938658362488 is a wasteful number, since it uses less digits than its factorization.

11938658362488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342987 (or 4342977 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 11938658362488 in words is "eleven trillion, nine hundred thirty-eight billion, six hundred fifty-eight million, three hundred sixty-two thousand, four hundred eighty-eight".