146355274464 has 288 divisors, whose sum is σ = 474329157120. Its totient is φ = 39261745152.

The previous prime is 146355274453. The next prime is 146355274489. The reversal of 146355274464 is 464472553641.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 37343097 + ... + 37347015.

It is an arithmetic number, because the mean of its divisors is an integer number (1646976240).

Almost surely, 2^146355274464 is an apocalyptic number.

146355274464 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 146355274464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237164578560).

146355274464 is an abundant number, since it is smaller than the sum of its proper divisors (327973882656).

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

146355274464 is a wasteful number, since it uses less digits than its factorization.

146355274464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4415 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 51.

The spelling of 146355274464 in words is "one hundred forty-six billion, three hundred fifty-five million, two hundred seventy-four thousand, four hundred sixty-four".