61354962900 has 648 divisors, whose sum is σ = 247292922240. Its totient is φ = 12579840000.

The previous prime is 61354962859. The next prime is 61354962923. The reversal of 61354962900 is 926945316.

61354962900 is a `hidden beast` number, since 6 + 1 + 354 + 9 + 6 + 290 + 0 = 666.

61354962900 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38322100 + ... + 38323700.

It is an arithmetic number, because the mean of its divisors is an integer number (381624880).

Almost surely, 2^61354962900 is an apocalyptic number.

61354962900 is a gapful number since it is divisible by the number (60) 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 61354962900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123646461120).

61354962900 is an abundant number, since it is smaller than the sum of its proper divisors (185937959340).

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

61354962900 is a wasteful number, since it uses less digits than its factorization.

61354962900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 61354962900 in words is "sixty-one billion, three hundred fifty-four million, nine hundred sixty-two thousand, nine hundred".