146877476239872 has 960 divisors, whose sum is σ = 508548448911360. Its totient is φ = 39927383654400.

The previous prime is 146877476239829. The next prime is 146877476239873. The reversal of 146877476239872 is 278932674778641.

146877476239872 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 77 + 476 + 2 + 3 + 9 + 8 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146877476239791 and 146877476239800.

It is not an unprimeable number, because it can be changed into a prime (146877476239873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24161450529 + ... + 24161456607.

It is an arithmetic number, because the mean of its divisors is an integer number (529737967616).

Almost surely, 2^{146877476239872} is an apocalyptic number.

146877476239872 is a gapful number since it is divisible by the number (12) 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 146877476239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254274224455680).

146877476239872 is an abundant number, since it is smaller than the sum of its proper divisors (361670972671488).

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

146877476239872 is a wasteful number, since it uses less digits than its factorization.

146877476239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6526 counting only the distinct ones).

The product of its digits is 9559130112, while the sum is 81.

The spelling of 146877476239872 in words is "one hundred forty-six trillion, eight hundred seventy-seven billion, four hundred seventy-six million, two hundred thirty-nine thousand, eight hundred seventy-two".