46441700746344 has 384 divisors, whose sum is σ = 131389983204480. Its totient is φ = 14810227660800.

The previous prime is 46441700746193. The next prime is 46441700746349. The reversal of 46441700746344 is 44364700714464.

46441700746344 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 170 + 0 + 7 + 463 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (46441700746349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10504793254 + ... + 10504797674.

It is an arithmetic number, because the mean of its divisors is an integer number (342161414595).

Almost surely, 2^{46441700746344} 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 46441700746344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65694991602240).

46441700746344 is an abundant number, since it is smaller than the sum of its proper divisors (84948282458136).

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

46441700746344 is a wasteful number, since it uses less digits than its factorization.

46441700746344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 46441700746344 in words is "forty-six trillion, four hundred forty-one billion, seven hundred million, seven hundred forty-six thousand, three hundred forty-four".