61145409600 has 1512 divisors, whose sum is σ = 269611681248. Its totient is φ = 13470105600.

The previous prime is 61145409599. The next prime is 61145409601. The reversal of 61145409600 is 690454116.

61145409600 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 5 + 40 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (61145409599) and next prime (61145409601).

It is a super-2 number, since 2×61145409600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61145409601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2108462386 + ... + 2108462414.

It is an arithmetic number, because the mean of its divisors is an integer number (178314604).

Almost surely, 2^61145409600 is an apocalyptic number.

61145409600 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 61145409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134805840624).

61145409600 is an abundant number, since it is smaller than the sum of its proper divisors (208466271648).

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

61145409600 is a wasteful number, since it uses less digits than its factorization.

61145409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61145409600 in words is "sixty-one billion, one hundred forty-five million, four hundred nine thousand, six hundred".