947191354560 has 896 divisors, whose sum is σ = 3821677009920. Its totient is φ = 218773094400.

The previous prime is 947191354559. The next prime is 947191354567. The reversal of 947191354560 is 65453191749.

947191354560 is a `hidden beast` number, since 9 + 4 + 7 + 1 + 91 + 3 + 545 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 947191354497 and 947191354506.

It is not an unprimeable number, because it can be changed into a prime (947191354567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167552694 + ... + 167558346.

It is an arithmetic number, because the mean of its divisors is an integer number (4265264520).

Almost surely, 2^947191354560 is an apocalyptic number.

947191354560 is a gapful number since it is divisible by the number (90) 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 947191354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910838504960).

947191354560 is an abundant number, since it is smaller than the sum of its proper divisors (2874485655360).

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

947191354560 is a wasteful number, since it uses less digits than its factorization.

947191354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 947191354560 in words is "nine hundred forty-seven billion, one hundred ninety-one million, three hundred fifty-four thousand, five hundred sixty".