61461152956 has 72 divisors (see below), whose sum is σ = 132372591120. Its totient is φ = 24827185152.

The previous prime is 61461152933. The next prime is 61461152959. The reversal of 61461152956 is 65925116416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61461152959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691740 + ... + 775516.

It is an arithmetic number, because the mean of its divisors is an integer number (1838508210).

Almost surely, 2^61461152956 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 61461152956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66186295560).

61461152956 is an abundant number, since it is smaller than the sum of its proper divisors (70911438164).

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

61461152956 is a wasteful number, since it uses less digits than its factorization.

61461152956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84011 (or 84002 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The spelling of 61461152956 in words is "sixty-one billion, four hundred sixty-one million, one hundred fifty-two thousand, nine hundred fifty-six".