61145468160 has 288 divisors, whose sum is σ = 223704778752. Its totient is φ = 13943316480.

The previous prime is 61145468119. The next prime is 61145468161. The reversal of 61145468160 is 6186454116.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61145468161) 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, 12550525 + ... + 12555395.

It is an arithmetic number, because the mean of its divisors is an integer number (776752704).

Almost surely, 2^61145468160 is an apocalyptic number.

61145468160 is a gapful number since it is divisible by the number (60) 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 61145468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111852389376).

61145468160 is an abundant number, since it is smaller than the sum of its proper divisors (162559310592).

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

61145468160 is a wasteful number, since it uses less digits than its factorization.

61145468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 61145468160 in words is "sixty-one billion, one hundred forty-five million, four hundred sixty-eight thousand, one hundred sixty".