146221402521600 has 3072 divisors, whose sum is σ = 635274354124800. Its totient is φ = 32285361438720.

The previous prime is 146221402521583. The next prime is 146221402521659. The reversal of 146221402521600 is 6125204122641.

146221402521600 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 2 + 1 + 4 + 0 + 25 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 845210419114 + ... + 845210419286.

It is an arithmetic number, because the mean of its divisors is an integer number (206795037150).

Almost surely, 2^{146221402521600} is an apocalyptic number.

146221402521600 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 146221402521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317637177062400).

146221402521600 is an abundant number, since it is smaller than the sum of its proper divisors (489052951603200).

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

146221402521600 is a wasteful number, since it uses less digits than its factorization.

146221402521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 146221402521600 in words is "one hundred forty-six trillion, two hundred twenty-one billion, four hundred two million, five hundred twenty-one thousand, six hundred".