35245364298144 has 1152 divisors, whose sum is σ = 131028362035200. Its totient is φ = 8062129152000.

The previous prime is 35245364298127. The next prime is 35245364298217. The reversal of 35245364298144 is 44189246354253.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2326572682 + ... + 2326587830.

It is an arithmetic number, because the mean of its divisors is an integer number (113739897600).

Almost surely, 2^{35245364298144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35245364298144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65514181017600).

35245364298144 is an abundant number, since it is smaller than the sum of its proper divisors (95782997737056).

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

35245364298144 is a wasteful number, since it uses less digits than its factorization.

35245364298144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306 (or 15287 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 60.

The spelling of 35245364298144 in words is "thirty-five trillion, two hundred forty-five billion, three hundred sixty-four million, two hundred ninety-eight thousand, one hundred forty-four".