61626601046016 has 1008 divisors, whose sum is σ = 193340663008416. Its totient is φ = 19616338280448.

The previous prime is 61626601045903. The next prime is 61626601046089. The reversal of 61626601046016 is 61064010662616.

It is a happy number.

61626601046016 is a `hidden beast` number, since 6 + 1 + 6 + 26 + 6 + 0 + 10 + 4 + 601 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 217761841011 + ... + 217761841293.

It is an arithmetic number, because the mean of its divisors is an integer number (191806213302).

Almost surely, 2^{61626601046016} 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 61626601046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96670331504208).

61626601046016 is an abundant number, since it is smaller than the sum of its proper divisors (131714061962400).

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

61626601046016 is an frugal number, since it uses more digits than its factorization.

61626601046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 61626601046016 in words is "sixty-one trillion, six hundred twenty-six billion, six hundred one million, forty-six thousand, sixteen".