146393296896 has 936 divisors, whose sum is σ = 534088847232. Its totient is φ = 35197747200.

The previous prime is 146393296879. The next prime is 146393296921. The reversal of 146393296896 is 698692393641.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4722364401 + ... + 4722364431.

Almost surely, 2^146393296896 is an apocalyptic number.

146393296896 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 146393296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267044423616).

146393296896 is an abundant number, since it is smaller than the sum of its proper divisors (387695550336).

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

146393296896 is a wasteful number, since it uses less digits than its factorization.

146393296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 77 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 66.

The spelling of 146393296896 in words is "one hundred forty-six billion, three hundred ninety-three million, two hundred ninety-six thousand, eight hundred ninety-six".