11435959390464 has 324 divisors, whose sum is σ = 39079704871116. Its totient is φ = 3205765914624.

The previous prime is 11435959390439. The next prime is 11435959390487. The reversal of 11435959390464 is 46409395953411.

It is a happy number.

11435959390464 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 595 + 9 + 39 + 0 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7585573572864 + 3850385817600 = 2754192^2 + 1962240^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5027862 + ... + 6939114.

It is an arithmetic number, because the mean of its divisors is an integer number (120616373059).

Almost surely, 2^{11435959390464} is an apocalyptic number.

11435959390464 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 11435959390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539852435558).

11435959390464 is an abundant number, since it is smaller than the sum of its proper divisors (27643745480652).

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

11435959390464 is a wasteful number, since it uses less digits than its factorization.

11435959390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911342 (or 1911318 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 11435959390464 in words is "eleven trillion, four hundred thirty-five billion, nine hundred fifty-nine million, three hundred ninety thousand, four hundred sixty-four".