1224058877664 has 768 divisors, whose sum is σ = 4267468800000. Its totient is φ = 298701914112.

The previous prime is 1224058877617. The next prime is 1224058877689. The reversal of 1224058877664 is 4667788504221.

It is a junction number, because it is equal to n+sod(n) for n = 1224058877598 and 1224058877607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 874952037 + ... + 874953435.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600000).

Almost surely, 2^{1224058877664} is an apocalyptic number.

1224058877664 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 1224058877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133734400000).

1224058877664 is an abundant number, since it is smaller than the sum of its proper divisors (3043409922336).

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

1224058877664 is a wasteful number, since it uses less digits than its factorization.

1224058877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 1224058877664 in words is "one trillion, two hundred twenty-four billion, fifty-eight million, eight hundred seventy-seven thousand, six hundred sixty-four".