146006654976 has 1080 divisors, whose sum is σ = 558764903424. Its totient is φ = 37265080320.

The previous prime is 146006654951. The next prime is 146006654977. The reversal of 146006654976 is 679456600641.

146006654976 is a `hidden beast` number, since 1 + 460 + 0 + 66 + 54 + 9 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146006654977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4709892081 + ... + 4709892111.

Almost surely, 2^146006654976 is an apocalyptic number.

146006654976 is a gapful number since it is divisible by the number (16) 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 146006654976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279382451712).

146006654976 is an abundant number, since it is smaller than the sum of its proper divisors (412758248448).

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

146006654976 is an frugal number, since it uses more digits than its factorization.

146006654976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 146006654976 in words is "one hundred forty-six billion, six million, six hundred fifty-four thousand, nine hundred seventy-six".