46484443647360 has 768 divisors, whose sum is σ = 172885526573760. Its totient is φ = 11467218223104.

The previous prime is 46484443647329. The next prime is 46484443647391. The reversal of 46484443647360 is 6374634448464.

46484443647360 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 4 + 443 + 64 + 73 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (46484443647329) and next prime (46484443647391).

It is a hoax number, since the sum of its digits (63) 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 95 ways as a sum of consecutive naturals, for example, 1601075404 + ... + 1601104436.

Almost surely, 2^{46484443647360} is an apocalyptic number.

46484443647360 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 46484443647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86442763286880).

46484443647360 is an abundant number, since it is smaller than the sum of its proper divisors (126401082926400).

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

46484443647360 is a wasteful number, since it uses less digits than its factorization.

46484443647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29355 (or 29340 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 63.

The spelling of 46484443647360 in words is "forty-six trillion, four hundred eighty-four billion, four hundred forty-three million, six hundred forty-seven thousand, three hundred sixty".