47436566016 has 480 divisors, whose sum is σ = 156068225280. Its totient is φ = 12739313664.

The previous prime is 47436565963. The next prime is 47436566101. The reversal of 47436566016 is 61066563474.

It is a super-2 number, since 2×47436566016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115981620 + ... + 115982028.

It is an arithmetic number, because the mean of its divisors is an integer number (325142136).

Almost surely, 2^47436566016 is an apocalyptic number.

47436566016 is a gapful number since it is divisible by the number (46) 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 47436566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78034112640).

47436566016 is an abundant number, since it is smaller than the sum of its proper divisors (108631659264).

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

47436566016 is a wasteful number, since it uses less digits than its factorization.

47436566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 47436566016 in words is "forty-seven billion, four hundred thirty-six million, five hundred sixty-six thousand, sixteen".