4354446652556 has 288 divisors, whose sum is σ = 10637610923520. Its totient is φ = 1513480550400.

The previous prime is 4354446652547. The next prime is 4354446652583. The reversal of 4354446652556 is 6552566444534.

It is a super-2 number, since 2×4354446652556² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4354446652495 and 4354446652504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228342590 + ... + 228361658.

It is an arithmetic number, because the mean of its divisors is an integer number (36936149040).

Almost surely, 2^{4354446652556} 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 4354446652556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318805461760).

4354446652556 is an abundant number, since it is smaller than the sum of its proper divisors (6283164270964).

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

4354446652556 is a wasteful number, since it uses less digits than its factorization.

4354446652556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19265 (or 19250 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 59.

The spelling of 4354446652556 in words is "four trillion, three hundred fifty-four billion, four hundred forty-six million, six hundred fifty-two thousand, five hundred fifty-six".