102631141869984 has 1152 divisors, whose sum is σ = 392631624000000. Its totient is φ = 25449565519872.

The previous prime is 102631141869973. The next prime is 102631141870057. The reversal of 102631141869984 is 489968141136201.

102631141869984 is a `hidden beast` number, since 1 + 0 + 2 + 63 + 11 + 418 + 69 + 98 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 21702501732 + ... + 21702506460.

It is an arithmetic number, because the mean of its divisors is an integer number (340826062500).

Almost surely, 2^{102631141869984} is an apocalyptic number.

102631141869984 is a gapful number since it is divisible by the number (14) 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 102631141869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196315812000000).

102631141869984 is an abundant number, since it is smaller than the sum of its proper divisors (290000482130016).

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

102631141869984 is a wasteful number, since it uses less digits than its factorization.

102631141869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 102631141869984 in words is "one hundred two trillion, six hundred thirty-one billion, one hundred forty-one million, eight hundred sixty-nine thousand, nine hundred eighty-four".