146984048640 has 1152 divisors, whose sum is σ = 631051948800. Its totient is φ = 31107317760.

The previous prime is 146984048623. The next prime is 146984048641. The reversal of 146984048640 is 46840489641.

146984048640 is a `hidden beast` number, since 1 + 46 + 9 + 84 + 0 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146984048641) 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, 250398427 + ... + 250399013.

It is an arithmetic number, because the mean of its divisors is an integer number (547788150).

Almost surely, 2^146984048640 is an apocalyptic number.

146984048640 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 146984048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315525974400).

146984048640 is an abundant number, since it is smaller than the sum of its proper divisors (484067900160).

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

146984048640 is a wasteful number, since it uses less digits than its factorization.

146984048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 146984048640 in words is "one hundred forty-six billion, nine hundred eighty-four million, forty-eight thousand, six hundred forty".