61403215104 has 504 divisors, whose sum is σ = 229164220992. Its totient is φ = 15945154560.

The previous prime is 61403215103. The next prime is 61403215147. The reversal of 61403215104 is 40151230416.

It is a happy number.

61403215104 is a `hidden beast` number, since 6 + 140 + 3 + 2 + 1 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61403215103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14367912 + ... + 14372184.

Almost surely, 2^61403215104 is an apocalyptic number.

61403215104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61403215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114582110496).

61403215104 is an abundant number, since it is smaller than the sum of its proper divisors (167761005888).

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

61403215104 is an equidigital number, since it uses as much as digits as its factorization.

61403215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 61403215104 in words is "sixty-one billion, four hundred three million, two hundred fifteen thousand, one hundred four".