146853329282400 has 1152 divisors, whose sum is σ = 537322849136640. Its totient is φ = 34592882688000.

The previous prime is 146853329282399. The next prime is 146853329282419. The reversal of 146853329282400 is 4282923358641.

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, 56941964311 + ... + 56941966889.

It is an arithmetic number, because the mean of its divisors is an integer number (466426084320).

Almost surely, 2^{146853329282400} is an apocalyptic number.

146853329282400 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 146853329282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268661424568320).

146853329282400 is an abundant number, since it is smaller than the sum of its proper divisors (390469519854240).

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

146853329282400 is a wasteful number, since it uses less digits than its factorization.

146853329282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 146853329282400 in words is "one hundred forty-six trillion, eight hundred fifty-three billion, three hundred twenty-nine million, two hundred eighty-two thousand, four hundred".