55135745346 has 128 divisors (see below), whose sum is σ = 136608768000. Its totient is φ = 14615976960.

The previous prime is 55135745339. The next prime is 55135745347. The reversal of 55135745346 is 64354753155.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55135745295 and 55135745304.

It is not an unprimeable number, because it can be changed into a prime (55135745347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105455 + ... + 1154253.

It is an arithmetic number, because the mean of its divisors is an integer number (1067256000).

Almost surely, 2^55135745346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55135745346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68304384000).

55135745346 is an abundant number, since it is smaller than the sum of its proper divisors (81473022654).

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

55135745346 is a wasteful number, since it uses less digits than its factorization.

55135745346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48904.

The product of its digits is 3780000, while the sum is 48.

The spelling of 55135745346 in words is "fifty-five billion, one hundred thirty-five million, seven hundred forty-five thousand, three hundred forty-six".