61942214016 has 384 divisors, whose sum is σ = 196068936960. Its totient is φ = 18685624320.

The previous prime is 61942214011. The next prime is 61942214017. The reversal of 61942214016 is 61041224916.

61942214016 is a `hidden beast` number, since 619 + 4 + 2 + 21 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61942214011) 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, 156025530 + ... + 156025926.

It is an arithmetic number, because the mean of its divisors is an integer number (510596190).

Almost surely, 2^61942214016 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 61942214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034468480).

61942214016 is an abundant number, since it is smaller than the sum of its proper divisors (134126722944).

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

61942214016 is a wasteful number, since it uses less digits than its factorization.

61942214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61942214016 in words is "sixty-one billion, nine hundred forty-two million, two hundred fourteen thousand, sixteen".