46482271080000 has 2240 divisors, whose sum is σ = 198754370242560. Its totient is φ = 9328214016000.

The previous prime is 46482271079989. The next prime is 46482271080001. The reversal of 46482271080000 is 8017228464.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (46482271080001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18178438722 + ... + 18178441278.

Almost surely, 2^{46482271080000} is an apocalyptic number.

46482271080000 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 46482271080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99377185121280).

46482271080000 is an abundant number, since it is smaller than the sum of its proper divisors (152272099162560).

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

46482271080000 is a wasteful number, since it uses less digits than its factorization.

46482271080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 46482271080000 in words is "forty-six trillion, four hundred eighty-two billion, two hundred seventy-one million, eighty thousand".