61145451020160 has 2560 divisors, whose sum is σ = 263356696310400. Its totient is φ = 13355804786688.

The previous prime is 61145451020153. The next prime is 61145451020243. The reversal of 61145451020160 is 6102015454116.

61145451020160 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 545 + 102 + 0 + 1 + 6 + 0 = 666.

61145451020160 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55942772574 + ... + 55942773666.

Almost surely, 2^{61145451020160} is an apocalyptic number.

61145451020160 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 61145451020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131678348155200).

61145451020160 is an abundant number, since it is smaller than the sum of its proper divisors (202211245290240).

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

61145451020160 is a wasteful number, since it uses less digits than its factorization.

61145451020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 61145451020160 its reverse (6102015454116), we get a palindrome (67247466474276).

The spelling of 61145451020160 in words is "sixty-one trillion, one hundred forty-five billion, four hundred fifty-one million, twenty thousand, one hundred sixty".