46743951744 has 640 divisors, whose sum is σ = 170189268480. Its totient is φ = 12444917760.

The previous prime is 46743951743. The next prime is 46743951799. The reversal of 46743951744 is 44715934764.

46743951744 is a `hidden beast` number, since 46 + 7 + 43 + 9 + 517 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46743951743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68438827 + ... + 68439509.

It is an arithmetic number, because the mean of its divisors is an integer number (265920732).

Almost surely, 2^46743951744 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 46743951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85094634240).

46743951744 is an abundant number, since it is smaller than the sum of its proper divisors (123445316736).

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

46743951744 is a wasteful number, since it uses less digits than its factorization.

46743951744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 46743951744 in words is "forty-six billion, seven hundred forty-three million, nine hundred fifty-one thousand, seven hundred forty-four".