146623217664 has 480 divisors, whose sum is σ = 513367142400. Its totient is φ = 36061839360.

The previous prime is 146623217651. The next prime is 146623217677. The reversal of 146623217664 is 466712326641.

It is an interprime number because it is at equal distance from previous prime (146623217651) and next prime (146623217677).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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 31 ways as a sum of consecutive naturals, for example, 71908357 + ... + 71910395.

It is an arithmetic number, because the mean of its divisors is an integer number (1069514880).

Almost surely, 2^146623217664 is an apocalyptic number.

146623217664 is a gapful number since it is divisible by the number (14) 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 146623217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256683571200).

146623217664 is an abundant number, since it is smaller than the sum of its proper divisors (366743924736).

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

146623217664 is a wasteful number, since it uses less digits than its factorization.

146623217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2081 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 146623217664 in words is "one hundred forty-six billion, six hundred twenty-three million, two hundred seventeen thousand, six hundred sixty-four".