46343700480000 has 2880 divisors, whose sum is σ = 201261399736320. Its totient is φ = 9201254400000.

The previous prime is 46343700479981. The next prime is 46343700480019. The reversal of 46343700480000 is 8400734364.

It is an interprime number because it is at equal distance from previous prime (46343700479981) and next prime (46343700480019).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 586629119961 + ... + 586629120039.

It is an arithmetic number, because the mean of its divisors is an integer number (69882430464).

Almost surely, 2^{46343700480000} is an apocalyptic number.

46343700480000 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 46343700480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100630699868160).

46343700480000 is an abundant number, since it is smaller than the sum of its proper divisors (154917699256320).

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

46343700480000 is an frugal number, since it uses more digits than its factorization.

46343700480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 46343700480000 in words is "forty-six trillion, three hundred forty-three billion, seven hundred million, four hundred eighty thousand".