51362144064 has 1176 divisors, whose sum is σ = 208922770368. Its totient is φ = 12123095040.

The previous prime is 51362144039. The next prime is 51362144069. The reversal of 51362144064 is 46044126315.

51362144064 is a `hidden beast` number, since 5 + 1 + 36 + 214 + 406 + 4 = 666.

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 (51362144069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1771108402 + ... + 1771108430.

Almost surely, 2^51362144064 is an apocalyptic number.

51362144064 is a gapful number since it is divisible by the number (54) 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 51362144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461385184).

51362144064 is an abundant number, since it is smaller than the sum of its proper divisors (157560626304).

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

51362144064 is a wasteful number, since it uses less digits than its factorization.

51362144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 51362144064 in words is "fifty-one billion, three hundred sixty-two million, one hundred forty-four thousand, sixty-four".