1229137654864 has 240 divisors, whose sum is σ = 2981621664000. Its totient is φ = 487658938368.

The previous prime is 1229137654841. The next prime is 1229137654883. The reversal of 1229137654864 is 4684567319221.

It is a junction number, because it is equal to n+sod(n) for n = 1229137654799 and 1229137654808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264385212 + ... + 264389860.

It is an arithmetic number, because the mean of its divisors is an integer number (12423423600).

Almost surely, 2^{1229137654864} is an apocalyptic number.

1229137654864 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 1229137654864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490810832000).

1229137654864 is an abundant number, since it is smaller than the sum of its proper divisors (1752484009136).

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

1229137654864 is a wasteful number, since it uses less digits than its factorization.

1229137654864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4997 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

It can be divided in two parts, 122913 and 7654864, that added together give a palindrome (7777777).

The spelling of 1229137654864 in words is "one trillion, two hundred twenty-nine billion, one hundred thirty-seven million, six hundred fifty-four thousand, eight hundred sixty-four".