61426496323584 has 1440 divisors, whose sum is σ = 223929615087360. Its totient is φ = 16425682993152.

The previous prime is 61426496323573. The next prime is 61426496323637. The reversal of 61426496323584 is 48532369462416.

61426496323584 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 6 + 49 + 6 + 3 + 2 + 3 + 584 = 666.

61426496323584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150187032372 + ... + 150187032780.

It is an arithmetic number, because the mean of its divisors is an integer number (155506677144).

Almost surely, 2^{61426496323584} is an apocalyptic number.

61426496323584 is a gapful number since it is divisible by the number (64) 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 61426496323584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111964807543680).

61426496323584 is an abundant number, since it is smaller than the sum of its proper divisors (162503118763776).

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

61426496323584 is an equidigital number, since it uses as much as digits as its factorization.

61426496323584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 755 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 61426496323584 in words is "sixty-one trillion, four hundred twenty-six billion, four hundred ninety-six million, three hundred twenty-three thousand, five hundred eighty-four".