102111954716448 has 288 divisors, whose sum is σ = 301883947747200. Its totient is φ = 32716433723904.

The previous prime is 102111954716437. The next prime is 102111954716461. The reversal of 102111954716448 is 844617459111201.

102111954716448 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 195 + 4 + 7 + 1 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102111954716394 and 102111954716403.

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, 6092953893 + ... + 6092970651.

It is an arithmetic number, because the mean of its divisors is an integer number (1048208151900).

Almost surely, 2^{102111954716448} is an apocalyptic number.

102111954716448 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 102111954716448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150941973873600).

102111954716448 is an abundant number, since it is smaller than the sum of its proper divisors (199771993030752).

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

102111954716448 is an frugal number, since it uses more digits than its factorization.

102111954716448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17061 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 102111954716448 in words is "one hundred two trillion, one hundred eleven billion, nine hundred fifty-four million, seven hundred sixteen thousand, four hundred forty-eight".