61201134470448 has 240 divisors, whose sum is σ = 202084199116800. Its totient is φ = 16920020482560.

The previous prime is 61201134470423. The next prime is 61201134470449. The reversal of 61201134470448 is 84407443110216.

61201134470448 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 1 + 134 + 4 + 70 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (61201134470449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282029733 + ... + 282246651.

It is an arithmetic number, because the mean of its divisors is an integer number (842017496320).

Almost surely, 2^{61201134470448} 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 61201134470448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101042099558400).

61201134470448 is an abundant number, since it is smaller than the sum of its proper divisors (140883064646352).

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

61201134470448 is a wasteful number, since it uses less digits than its factorization.

61201134470448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226000 (or 225991 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 61201134470448 in words is "sixty-one trillion, two hundred one billion, one hundred thirty-four million, four hundred seventy thousand, four hundred forty-eight".