146981328021504 has 576 divisors, whose sum is σ = 443104767705600. Its totient is φ = 46884726374400.

The previous prime is 146981328021491. The next prime is 146981328021511. The reversal of 146981328021504 is 405120823189641.

146981328021504 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 8 + 1 + 32 + 80 + 21 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 35562864622 + ... + 35562868754.

It is an arithmetic number, because the mean of its divisors is an integer number (769279110600).

Almost surely, 2^{146981328021504} 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 146981328021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221552383852800).

146981328021504 is an abundant number, since it is smaller than the sum of its proper divisors (296123439684096).

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

146981328021504 is a wasteful number, since it uses less digits than its factorization.

146981328021504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 146981328021504 in words is "one hundred forty-six trillion, nine hundred eighty-one billion, three hundred twenty-eight million, twenty-one thousand, five hundred four".