101986285471488 has 432 divisors, whose sum is σ = 332715617331552. Its totient is φ = 29771919360000.

The previous prime is 101986285471409. The next prime is 101986285471501. The reversal of 101986285471488 is 884174582689101.

101986285471488 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 6 + 28 + 54 + 71 + 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 47 ways as a sum of consecutive naturals, for example, 94172118 + ... + 95248938.

Almost surely, 2^{101986285471488} is an apocalyptic number.

101986285471488 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 101986285471488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166357808665776).

101986285471488 is an abundant number, since it is smaller than the sum of its proper divisors (230729331860064).

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

101986285471488 is a wasteful number, since it uses less digits than its factorization.

101986285471488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076992 (or 1076975 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 101986285471488 in words is "one hundred one trillion, nine hundred eighty-six billion, two hundred eighty-five million, four hundred seventy-one thousand, four hundred eighty-eight".