61146037792 has 192 divisors, whose sum is σ = 146499010560. Its totient is φ = 24565939200.

The previous prime is 61146037787. The next prime is 61146037793. The reversal of 61146037792 is 29773064116.

61146037792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61146037793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85042809 + ... + 85043527.

It is an arithmetic number, because the mean of its divisors is an integer number (763015680).

Almost surely, 2^61146037792 is an apocalyptic number.

61146037792 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61146037792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73249505280).

61146037792 is an abundant number, since it is smaller than the sum of its proper divisors (85352972768).

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

61146037792 is a wasteful number, since it uses less digits than its factorization.

61146037792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 61146037792 in words is "sixty-one billion, one hundred forty-six million, thirty-seven thousand, seven hundred ninety-two".