61745786016 has 384 divisors, whose sum is σ = 179798040576. Its totient is φ = 18497740800.

The previous prime is 61745785967. The next prime is 61745786017. The reversal of 61745786016 is 61068754716.

It is a happy number.

It is a super-2 number, since 2×61745786016² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61745786016.

It is not an unprimeable number, because it can be changed into a prime (61745786017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450699100 + ... + 450699236.

It is an arithmetic number, because the mean of its divisors is an integer number (468224064).

Almost surely, 2^61745786016 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 61745786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89899020288).

61745786016 is an abundant number, since it is smaller than the sum of its proper divisors (118052254560).

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

61745786016 is a wasteful number, since it uses less digits than its factorization.

61745786016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 61745786016 in words is "sixty-one billion, seven hundred forty-five million, seven hundred eighty-six thousand, sixteen".