146326668601344 has 384 divisors, whose sum is σ = 495546768138240. Its totient is φ = 37289808691200.

The previous prime is 146326668601313. The next prime is 146326668601369. The reversal of 146326668601344 is 443106866623641.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×146326668601344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22155729 + ... + 27991599.

It is an arithmetic number, because the mean of its divisors is an integer number (1290486375360).

Almost surely, 2^{146326668601344} is an apocalyptic number.

146326668601344 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 146326668601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247773384069120).

146326668601344 is an abundant number, since it is smaller than the sum of its proper divisors (349220099536896).

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

146326668601344 is a wasteful number, since it uses less digits than its factorization.

146326668601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835967 (or 5835947 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 60.

The spelling of 146326668601344 in words is "one hundred forty-six trillion, three hundred twenty-six billion, six hundred sixty-eight million, six hundred one thousand, three hundred forty-four".