61871629248 has 896 divisors, whose sum is σ = 227110625280. Its totient is φ = 16257024000.

The previous prime is 61871629199. The next prime is 61871629273. The reversal of 61871629248 is 84292617816.

It is a happy number.

61871629248 is a `hidden beast` number, since 6 + 1 + 8 + 7 + 1 + 629 + 2 + 4 + 8 = 666.

61871629248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61871629194 and 61871629203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314069086 + ... + 314069282.

It is an arithmetic number, because the mean of its divisors is an integer number (253471680).

Almost surely, 2^61871629248 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 61871629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113555312640).

61871629248 is an abundant number, since it is smaller than the sum of its proper divisors (165238996032).

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

61871629248 is a wasteful number, since it uses less digits than its factorization.

61871629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 61871629248 in words is "sixty-one billion, eight hundred seventy-one million, six hundred twenty-nine thousand, two hundred forty-eight".