1089613875456 has 216 divisors, whose sum is σ = 3189220810776. Its totient is φ = 357716459520.

The previous prime is 1089613875439. The next prime is 1089613875461. The reversal of 1089613875456 is 6545783169801.

1089613875456 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 6 + 1 + 3 + 87 + 545 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147161235456 + 942452640000 = 383616^2 + 970800^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1089613875393 and 1089613875402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127989856 + ... + 127998368.

It is an arithmetic number, because the mean of its divisors is an integer number (14764911161).

Almost surely, 2^{1089613875456} is an apocalyptic number.

1089613875456 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 1089613875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594610405388).

1089613875456 is an abundant number, since it is smaller than the sum of its proper divisors (2099606935320).

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

1089613875456 is an equidigital number, since it uses as much as digits as its factorization.

1089613875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1089613875456 in words is "one trillion, eighty-nine billion, six hundred thirteen million, eight hundred seventy-five thousand, four hundred fifty-six".