61433233233416 has 64 divisors (see below), whose sum is σ = 126499206021120. Its totient is φ = 27737647283520.

The previous prime is 61433233233283. The next prime is 61433233233481.

61433233233416 is nontrivially palindromic in base 10.

61433233233416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61433233233416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24974441 + ... + 27323783.

It is an arithmetic number, because the mean of its divisors is an integer number (1976550094080).

Almost surely, 2^{61433233233416} 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 61433233233416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249603010560).

61433233233416 is an abundant number, since it is smaller than the sum of its proper divisors (65065972787704).

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

61433233233416 is a wasteful number, since it uses less digits than its factorization.

61433233233416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351346 (or 2351342 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 44.

It can be divided in two parts, 6143323 and 3233416, that added together give a palindrome (9376739).

The spelling of 61433233233416 in words is "sixty-one trillion, four hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, four hundred sixteen".