1434617757664 has 96 divisors (see below), whose sum is σ = 3481468784640. Its totient is φ = 566679117312.

The previous prime is 1434617757659. The next prime is 1434617757709. The reversal of 1434617757664 is 4667577164341.

It is a super-2 number, since 2×1434617757664² (a number of 25 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 15 ways as a sum of consecutive naturals, for example, 1545217 + ... + 2292799.

It is an arithmetic number, because the mean of its divisors is an integer number (36265299840).

Almost surely, 2^{1434617757664} is an apocalyptic number.

1434617757664 is a gapful number since it is divisible by the number (14) 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 1434617757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740734392320).

1434617757664 is an abundant number, since it is smaller than the sum of its proper divisors (2046851026976).

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

1434617757664 is a wasteful number, since it uses less digits than its factorization.

1434617757664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748272 (or 748264 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 61.

The spelling of 1434617757664 in words is "one trillion, four hundred thirty-four billion, six hundred seventeen million, seven hundred fifty-seven thousand, six hundred sixty-four".