46340465227056 has 960 divisors, whose sum is σ = 184026971520000. Its totient is φ = 11110542266880.

The previous prime is 46340465226973. The next prime is 46340465227129. The reversal of 46340465227056 is 65072256404364.

46340465227056 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 0 + 46 + 522 + 70 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46340465226993 and 46340465227011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245094445 + ... + 245283443.

It is an arithmetic number, because the mean of its divisors is an integer number (191694762000).

Almost surely, 2^{46340465227056} 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 46340465227056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92013485760000).

46340465227056 is an abundant number, since it is smaller than the sum of its proper divisors (137686506292944).

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

46340465227056 is a wasteful number, since it uses less digits than its factorization.

46340465227056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189066 (or 189035 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 46340465227056 in words is "forty-six trillion, three hundred forty billion, four hundred sixty-five million, two hundred twenty-seven thousand, fifty-six".