11778546410496 has 330 divisors, whose sum is σ = 36344503034070. Its totient is φ = 3799505387520.

The previous prime is 11778546410483. The next prime is 11778546410551. The reversal of 11778546410496 is 69401464587711.

It is a happy number.

11778546410496 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 8 + 546 + 41 + 0 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8162220441600 + 3616325968896 = 2856960^2 + 1901664^2 .

It is a super-2 number, since 2×11778546410496² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 79635300 + ... + 79783068.

It is an arithmetic number, because the mean of its divisors is an integer number (110134857679).

Almost surely, 2^{11778546410496} is an apocalyptic number.

11778546410496 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 11778546410496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172251517035).

11778546410496 is an abundant number, since it is smaller than the sum of its proper divisors (24565956623574).

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

11778546410496 is an equidigital number, since it uses as much as digits as its factorization.

11778546410496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147863 (or 147805 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 11778546410496 in words is "eleven trillion, seven hundred seventy-eight billion, five hundred forty-six million, four hundred ten thousand, four hundred ninety-six".