61822381504 has 112 divisors (see below), whose sum is σ = 136293144736. Its totient is φ = 27645235200.

The previous prime is 61822381463. The next prime is 61822381519. The reversal of 61822381504 is 40518322816.

61822381504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61822381504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3391294 + ... + 3409474.

It is an arithmetic number, because the mean of its divisors is an integer number (1216903078).

Almost surely, 2^61822381504 is an apocalyptic number.

61822381504 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 61822381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68146572368).

61822381504 is an abundant number, since it is smaller than the sum of its proper divisors (74470763232).

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

61822381504 is a wasteful number, since it uses less digits than its factorization.

61822381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 61822381504 in words is "sixty-one billion, eight hundred twenty-two million, three hundred eighty-one thousand, five hundred four".