46983307392 has 576 divisors, whose sum is σ = 168880420800. Its totient is φ = 12948719616.

The previous prime is 46983307373. The next prime is 46983307429. The reversal of 46983307392 is 29370338964.

46983307392 is a `hidden beast` number, since 469 + 83 + 30 + 73 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44198253 + ... + 44199315.

It is an arithmetic number, because the mean of its divisors is an integer number (293195175).

Almost surely, 2^46983307392 is an apocalyptic number.

46983307392 is a gapful number since it is divisible by the number (42) 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 46983307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84440210400).

46983307392 is an abundant number, since it is smaller than the sum of its proper divisors (121897113408).

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

46983307392 is a wasteful number, since it uses less digits than its factorization.

46983307392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 46983307392 in words is "forty-six billion, nine hundred eighty-three million, three hundred seven thousand, three hundred ninety-two".