46364061744 has 1260 divisors, whose sum is σ = 192298765008. Its totient is φ = 10531192320.

The previous prime is 46364061743. The next prime is 46364061749. The reversal of 46364061744 is 44716046364.

46364061744 is a `hidden beast` number, since 4 + 636 + 4 + 0 + 6 + 1 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46364061744.

It is not an unprimeable number, because it can be changed into a prime (46364061743) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2440213767 + ... + 2440213785.

Almost surely, 2^46364061744 is an apocalyptic number.

46364061744 is a gapful number since it is divisible by the number (44) 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 46364061744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96149382504).

46364061744 is an abundant number, since it is smaller than the sum of its proper divisors (145934703264).

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

46364061744 is a wasteful number, since it uses less digits than its factorization.

46364061744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 46364061744 in words is "forty-six billion, three hundred sixty-four million, sixty-one thousand, seven hundred forty-four".