1227661362624 has 224 divisors, whose sum is σ = 3540922560000. Its totient is φ = 373858467840.

The previous prime is 1227661362601. The next prime is 1227661362647. The reversal of 1227661362624 is 4262631667221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1227661362601) and next prime (1227661362647).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26607927 + ... + 26654025.

It is an arithmetic number, because the mean of its divisors is an integer number (15807690000).

Almost surely, 2^{1227661362624} 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 1227661362624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770461280000).

1227661362624 is an abundant number, since it is smaller than the sum of its proper divisors (2313261197376).

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

1227661362624 is a wasteful number, since it uses less digits than its factorization.

1227661362624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46371 (or 46361 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 1227661362624 in words is "one trillion, two hundred twenty-seven billion, six hundred sixty-one million, three hundred sixty-two thousand, six hundred twenty-four".