1228577414832 has 160 divisors (see below), whose sum is σ = 3739733141760. Its totient is φ = 384835138560.

The previous prime is 1228577414773. The next prime is 1228577414837. The reversal of 1228577414832 is 2384147758221.

1228577414832 is a `hidden beast` number, since 1 + 2 + 2 + 85 + 77 + 414 + 83 + 2 = 666.

It is a super-3 number, since 3×1228577414832³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1228577414837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4592107 + ... + 4852277.

It is an arithmetic number, because the mean of its divisors is an integer number (23373332136).

Almost surely, 2^{1228577414832} is an apocalyptic number.

1228577414832 is a gapful number since it is divisible by the number (12) 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 1228577414832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869866570880).

1228577414832 is an abundant number, since it is smaller than the sum of its proper divisors (2511155726928).

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

1228577414832 is a wasteful number, since it uses less digits than its factorization.

1228577414832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260848 (or 260836 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 1228577414832 in words is "one trillion, two hundred twenty-eight billion, five hundred seventy-seven million, four hundred fourteen thousand, eight hundred thirty-two".