146998001664 has 192 divisors, whose sum is σ = 440406209880. Its totient is φ = 48996679680.

The previous prime is 146998001629. The next prime is 146998001671. The reversal of 146998001664 is 466100899641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146998001664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7953394 + ... + 7971854.

Almost surely, 2^146998001664 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 146998001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220203104940).

146998001664 is an abundant number, since it is smaller than the sum of its proper divisors (293408208216).

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

146998001664 is an frugal number, since it uses more digits than its factorization.

146998001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18506 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 146998001664 in words is "one hundred forty-six billion, nine hundred ninety-eight million, one thousand, six hundred sixty-four".