146985405525024 has 288 divisors, whose sum is σ = 439060110479424. Its totient is φ = 42684311255040.

The previous prime is 146985405525001. The next prime is 146985405525053. The reversal of 146985405525024 is 420525504589641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102774654 + ... + 104195010.

It is an arithmetic number, because the mean of its divisors is an integer number (1524514272498).

Almost surely, 2^{146985405525024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146985405525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219530055239712).

146985405525024 is an abundant number, since it is smaller than the sum of its proper divisors (292074704954400).

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

146985405525024 is a wasteful number, since it uses less digits than its factorization.

146985405525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420520 (or 1420469 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 60.

The spelling of 146985405525024 in words is "one hundred forty-six trillion, nine hundred eighty-five billion, four hundred five million, five hundred twenty-five thousand, twenty-four".