146603900268 has 144 divisors (see below), whose sum is σ = 442436480640. Its totient is φ = 41858625312.

The previous prime is 146603900257. The next prime is 146603900279. The reversal of 146603900268 is 862009306641.

146603900268 is a `hidden beast` number, since 14 + 6 + 603 + 9 + 0 + 0 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146603900257) and next prime (146603900279).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8601571 + ... + 8618597.

It is an arithmetic number, because the mean of its divisors is an integer number (3072475560).

Almost surely, 2^146603900268 is an apocalyptic number.

146603900268 is a gapful number since it is divisible by the number (18) 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 146603900268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221218240320).

146603900268 is an abundant number, since it is smaller than the sum of its proper divisors (295832580372).

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

146603900268 is a wasteful number, since it uses less digits than its factorization.

146603900268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18681 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 146603900268 in words is "one hundred forty-six billion, six hundred three million, nine hundred thousand, two hundred sixty-eight".