146802880660800 has 1344 divisors, whose sum is σ = 628749457459200. Its totient is φ = 29119382323200.

The previous prime is 146802880660759. The next prime is 146802880660889. The reversal of 146802880660800 is 8066088208641.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1087127686 + ... + 1087262714.

It is an arithmetic number, because the mean of its divisors is an integer number (467819536800).

Almost surely, 2^{146802880660800} is an apocalyptic number.

146802880660800 is a gapful number since it is divisible by the number (10) 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 146802880660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314374728729600).

146802880660800 is an abundant number, since it is smaller than the sum of its proper divisors (481946576798400).

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

146802880660800 is a wasteful number, since it uses less digits than its factorization.

146802880660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135224 (or 135209 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 146802880660800 in words is "one hundred forty-six trillion, eight hundred two billion, eight hundred eighty million, six hundred sixty thousand, eight hundred".