2353720417464 has 128 divisors (see below), whose sum is σ = 6556534689600. Its totient is φ = 699133317120.

The previous prime is 2353720417463. The next prime is 2353720417481. The reversal of 2353720417464 is 4647140273532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353720417463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66222642 + ... + 66258174.

Almost surely, 2^{2353720417464} is an apocalyptic number.

2353720417464 is a gapful number since it is divisible by the number (24) 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 2353720417464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278267344800).

2353720417464 is an abundant number, since it is smaller than the sum of its proper divisors (4202814272136).

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

2353720417464 is a wasteful number, since it uses less digits than its factorization.

2353720417464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42905 (or 42901 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 2353720417464 in words is "two trillion, three hundred fifty-three billion, seven hundred twenty million, four hundred seventeen thousand, four hundred sixty-four".