146613238464 has 224 divisors, whose sum is σ = 485223653376. Its totient is φ = 37956142080.

The previous prime is 146613238463. The next prime is 146613238487. The reversal of 146613238464 is 464832316641.

It is a tau number, because it is divible by the number of its divisors (224).

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 not an unprimeable number, because it can be changed into a prime (146613238463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522537 + ... + 4554839.

It is an arithmetic number, because the mean of its divisors is an integer number (2166177024).

Almost surely, 2^146613238464 is an apocalyptic number.

146613238464 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 146613238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611826688).

146613238464 is an abundant number, since it is smaller than the sum of its proper divisors (338610414912).

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

146613238464 is a wasteful number, since it uses less digits than its factorization.

146613238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32643 (or 32633 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 146613238464 in words is "one hundred forty-six billion, six hundred thirteen million, two hundred thirty-eight thousand, four hundred sixty-four".