146456820984 has 128 divisors (see below), whose sum is σ = 388281600000. Its totient is φ = 45906102144.

The previous prime is 146456820973. The next prime is 146456821001. The reversal of 146456820984 is 489028654641.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97702267 + ... + 97703765.

It is an arithmetic number, because the mean of its divisors is an integer number (3033450000).

Almost surely, 2^146456820984 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 146456820984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800000).

146456820984 is an abundant number, since it is smaller than the sum of its proper divisors (241824779016).

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

146456820984 is a wasteful number, since it uses less digits than its factorization.

146456820984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 146456820984 in words is "one hundred forty-six billion, four hundred fifty-six million, eight hundred twenty thousand, nine hundred eighty-four".