61846152258800 has 480 divisors, whose sum is σ = 203822804505600. Its totient is φ = 17452339937280.

The previous prime is 61846152258721. The next prime is 61846152258823. The reversal of 61846152258800 is 885225164816.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9127061 + ... + 14387339.

It is an arithmetic number, because the mean of its divisors is an integer number (424630842720).

Almost surely, 2^{61846152258800} 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 61846152258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911402252800).

61846152258800 is an abundant number, since it is smaller than the sum of its proper divisors (141976652246800).

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

61846152258800 is a wasteful number, since it uses less digits than its factorization.

61846152258800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260353 (or 5260342 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 56.

The spelling of 61846152258800 in words is "sixty-one trillion, eight hundred forty-six billion, one hundred fifty-two million, two hundred fifty-eight thousand, eight hundred".