146253311415 has 96 divisors (see below), whose sum is σ = 270682214400. Its totient is φ = 72927993600.

The previous prime is 146253311341. The next prime is 146253311461. The reversal of 146253311415 is 514113352641.

146253311415 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 533 + 114 + 1 + 5 = 666.

It is not a de Polignac number, because 146253311415 - 2¹⁴ = 146253295031 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146253311415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5144490 + ... + 5172840.

It is an arithmetic number, because the mean of its divisors is an integer number (2819606400).

Almost surely, 2^146253311415 is an apocalyptic number.

146253311415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146253311415 is a deficient number, since it is larger than the sum of its proper divisors (124428902985).

146253311415 is a wasteful number, since it uses less digits than its factorization.

146253311415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28517 (or 28514 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 146253311415 in words is "one hundred forty-six billion, two hundred fifty-three million, three hundred eleven thousand, four hundred fifteen".