46261029744 has 120 divisors (see below), whose sum is σ = 134439155760. Its totient is φ = 15399963648.

The previous prime is 46261029707. The next prime is 46261029751. The reversal of 46261029744 is 44792016264.

46261029744 is a `hidden beast` number, since 4 + 6 + 2 + 610 + 29 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46261029744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091272 + ... + 3106200.

It is an arithmetic number, because the mean of its divisors is an integer number (1120326298).

Almost surely, 2^46261029744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46261029744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67219577880).

46261029744 is an abundant number, since it is smaller than the sum of its proper divisors (88178126016).

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

46261029744 is a wasteful number, since it uses less digits than its factorization.

46261029744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749 (or 15731 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46261029744 in words is "forty-six billion, two hundred sixty-one million, twenty-nine thousand, seven hundred forty-four".