145633242610416 has 80 divisors (see below), whose sum is σ = 410426249931648. Its totient is φ = 44130716448000.

The previous prime is 145633242610399. The next prime is 145633242610481. The reversal of 145633242610416 is 614016242336541.

145633242610416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40131855 + ... + 43610001.

Almost surely, 2^{145633242610416} is an apocalyptic number.

145633242610416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145633242610416 is an abundant number, since it is smaller than the sum of its proper divisors (264793007321232).

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

145633242610416 is a wasteful number, since it uses less digits than its factorization.

145633242610416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557470 (or 3557464 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

Adding to 145633242610416 its reverse (614016242336541), we get a palindrome (759649484946957).

The spelling of 145633242610416 in words is "one hundred forty-five trillion, six hundred thirty-three billion, two hundred forty-two million, six hundred ten thousand, four hundred sixteen".