34454355011544 has 128 divisors (see below), whose sum is σ = 95841355438080. Its totient is φ = 10250005939200.

The previous prime is 34454355011491. The next prime is 34454355011561. The reversal of 34454355011544 is 44511055345443.

It is a junction number, because it is equal to n+sod(n) for n = 34454355011493 and 34454355011502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8986539 + ... + 12233829.

It is an arithmetic number, because the mean of its divisors is an integer number (748760589360).

Almost surely, 2^{34454355011544} 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 34454355011544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47920677719040).

34454355011544 is an abundant number, since it is smaller than the sum of its proper divisors (61387000426536).

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

34454355011544 is a wasteful number, since it uses less digits than its factorization.

34454355011544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248441 (or 3248437 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 34454355011544 in words is "thirty-four trillion, four hundred fifty-four billion, three hundred fifty-five million, eleven thousand, five hundred forty-four".