10986014146464 has 576 divisors, whose sum is σ = 38901009974400. Its totient is φ = 3003766972416.

The previous prime is 10986014146447. The next prime is 10986014146489. The reversal of 10986014146464 is 46464141068901.

It is a happy number.

10986014146464 is a `hidden beast` number, since 1 + 0 + 9 + 86 + 0 + 1 + 41 + 464 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10986014146464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138695479 + ... + 138774665.

It is an arithmetic number, because the mean of its divisors is an integer number (67536475650).

Almost surely, 2^{10986014146464} is an apocalyptic number.

10986014146464 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 10986014146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450504987200).

10986014146464 is an abundant number, since it is smaller than the sum of its proper divisors (27914995827936).

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

10986014146464 is a wasteful number, since it uses less digits than its factorization.

10986014146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79362 (or 79341 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10986014146464 in words is "ten trillion, nine hundred eighty-six billion, fourteen million, one hundred forty-six thousand, four hundred sixty-four".