4611223685376 has 1215 divisors, whose sum is σ = 17256339141587. Its totient is φ = 1183290071040.

The previous prime is 4611223685317. The next prime is 4611223685473. The reversal of 4611223685376 is 6735863221164.

The square root of 4611223685376 is 2147376.

It is a perfect power (a square), and thus also a powerful number.

4611223685376 is a `hidden beast` number, since 4 + 61 + 12 + 2 + 36 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×4611223685376² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55556911831 + ... + 55556911913.

Almost surely, 2^{4611223685376} is an apocalyptic number.

4611223685376 is the 2147376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4611223685376

4611223685376 is an abundant number, since it is smaller than the sum of its proper divisors (12645115456211).

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

4611223685376 is an frugal number, since it uses more digits than its factorization.

4611223685376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 106 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 4611223685376 in words is "four trillion, six hundred eleven billion, two hundred twenty-three million, six hundred eighty-five thousand, three hundred seventy-six".