146444907840 has 448 divisors, whose sum is σ = 586702448640. Its totient is φ = 30062223360.

The previous prime is 146444907839. The next prime is 146444907901. The reversal of 146444907840 is 48709444641.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×146444907840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6123426 + ... + 6147294.

It is an arithmetic number, because the mean of its divisors is an integer number (1309603680).

Almost surely, 2^146444907840 is an apocalyptic number.

146444907840 is a gapful number since it is divisible by the number (10) 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 146444907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293351224320).

146444907840 is an abundant number, since it is smaller than the sum of its proper divisors (440257540800).

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

146444907840 is a wasteful number, since it uses less digits than its factorization.

146444907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23990 (or 23980 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 146444907840 in words is "one hundred forty-six billion, four hundred forty-four million, nine hundred seven thousand, eight hundred forty".