61142085978624 has 640 divisors, whose sum is σ = 218873294069760. Its totient is φ = 16474248806400.

The previous prime is 61142085978593. The next prime is 61142085978661. The reversal of 61142085978624 is 42687958024116.

It is a happy number.

61142085978624 is a `hidden beast` number, since 6 + 1 + 1 + 420 + 85 + 9 + 78 + 62 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157828684 + ... + 158215604.

It is an arithmetic number, because the mean of its divisors is an integer number (341989521984).

Almost surely, 2^{61142085978624} is an apocalyptic number.

61142085978624 is a gapful number since it is divisible by the number (64) 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 61142085978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109436647034880).

61142085978624 is an abundant number, since it is smaller than the sum of its proper divisors (157731208091136).

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

61142085978624 is a wasteful number, since it uses less digits than its factorization.

61142085978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387049 (or 387027 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 61142085978624 in words is "sixty-one trillion, one hundred forty-two billion, eighty-five million, nine hundred seventy-eight thousand, six hundred twenty-four".