1086414952896 has 448 divisors, whose sum is σ = 3961927925760. Its totient is φ = 284265676800.

The previous prime is 1086414952853. The next prime is 1086414952937. The reversal of 1086414952896 is 6982594146801.

1086414952896 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 14 + 9 + 528 + 96 = 666.

1086414952896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 19943296 + ... + 19997696.

It is an arithmetic number, because the mean of its divisors is an integer number (8843589120).

Almost surely, 2^{1086414952896} is an apocalyptic number.

1086414952896 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 1086414952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980963962880).

1086414952896 is an abundant number, since it is smaller than the sum of its proper divisors (2875512972864).

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

1086414952896 is a wasteful number, since it uses less digits than its factorization.

1086414952896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54569 (or 54553 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1086414952896 in words is "one trillion, eighty-six billion, four hundred fourteen million, nine hundred fifty-two thousand, eight hundred ninety-six".