46920931717140 has 1152 divisors, whose sum is σ = 167626095436800. Its totient is φ = 10937121914880.

The previous prime is 46920931717139. The next prime is 46920931717171. The reversal of 46920931717140 is 4171713902964.

46920931717140 is a `hidden beast` number, since 469 + 2 + 0 + 9 + 3 + 1 + 7 + 171 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20570332800 + ... + 20570335080.

It is an arithmetic number, because the mean of its divisors is an integer number (145508763400).

Almost surely, 2^{46920931717140} 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 46920931717140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83813047718400).

46920931717140 is an abundant number, since it is smaller than the sum of its proper divisors (120705163719660).

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

46920931717140 is a wasteful number, since it uses less digits than its factorization.

46920931717140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 46920931717140 in words is "forty-six trillion, nine hundred twenty billion, nine hundred thirty-one million, seven hundred seventeen thousand, one hundred forty".