61457234253324 has 480 divisors, whose sum is σ = 189193332572160. Its totient is φ = 15404694649344.

The previous prime is 61457234253293. The next prime is 61457234253343. The reversal of 61457234253324 is 42335243275416.

61457234253324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 1352498997 + ... + 1352544435.

It is an arithmetic number, because the mean of its divisors is an integer number (394152776192).

Almost surely, 2^{61457234253324} 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 61457234253324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94596666286080).

61457234253324 is an abundant number, since it is smaller than the sum of its proper divisors (127736098318836).

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

61457234253324 is a wasteful number, since it uses less digits than its factorization.

61457234253324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45667 (or 45644 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 51.

The spelling of 61457234253324 in words is "sixty-one trillion, four hundred fifty-seven billion, two hundred thirty-four million, two hundred fifty-three thousand, three hundred twenty-four".