146889469401600 has 240 divisors, whose sum is σ = 485270336960640. Its totient is φ = 39168090931200.

The previous prime is 146889469401569. The next prime is 146889469401601. The reversal of 146889469401600 is 6104964988641.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (146889469401601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666475420 + ... + 666695780.

It is an arithmetic number, because the mean of its divisors is an integer number (2021959737336).

Almost surely, 2^{146889469401600} is an apocalyptic number.

146889469401600 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 146889469401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242635168480320).

146889469401600 is an abundant number, since it is smaller than the sum of its proper divisors (338380867559040).

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

146889469401600 is a wasteful number, since it uses less digits than its factorization.

146889469401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237751 (or 237730 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 146889469401600 in words is "one hundred forty-six trillion, eight hundred eighty-nine billion, four hundred sixty-nine million, four hundred one thousand, six hundred".