46289447946240 has 576 divisors, whose sum is σ = 157740213758400. Its totient is φ = 11586247852032.

The previous prime is 46289447946187. The next prime is 46289447946241. The reversal of 46289447946240 is 4264974498264.

It is not an unprimeable number, because it can be changed into a prime (46289447946241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3364785442 + ... + 3364799198.

It is an arithmetic number, because the mean of its divisors is an integer number (273854537775).

Almost surely, 2^{46289447946240} is an apocalyptic number.

46289447946240 is a gapful number since it is divisible by the number (40) 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 46289447946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78870106879200).

46289447946240 is an abundant number, since it is smaller than the sum of its proper divisors (111450765812160).

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

46289447946240 is a wasteful number, since it uses less digits than its factorization.

46289447946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14200 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 69.

The spelling of 46289447946240 in words is "forty-six trillion, two hundred eighty-nine billion, four hundred forty-seven million, nine hundred forty-six thousand, two hundred forty".