1234455672288 has 96 divisors (see below), whose sum is σ = 3309824415744. Its totient is φ = 402677576192.

The previous prime is 1234455672271. The next prime is 1234455672301. The reversal of 1234455672288 is 8822765544321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50012206 + ... + 50036882.

It is an arithmetic number, because the mean of its divisors is an integer number (34477337664).

Almost surely, 2^{1234455672288} 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 1234455672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654912207872).

1234455672288 is an abundant number, since it is smaller than the sum of its proper divisors (2075368743456).

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

1234455672288 is a wasteful number, since it uses less digits than its factorization.

1234455672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35824 (or 35816 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 1234455672288 in words is "one trillion, two hundred thirty-four billion, four hundred fifty-five million, six hundred seventy-two thousand, two hundred eighty-eight".