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4466685113856 = 2932717311272069
BaseRepresentation
bin100000011111111101100…
…1011011111011000000000
3120211000021222001211212200
41000333323023133120000
51041140232342120411
613255544455353200
7640464423011520
oct100777313373000
916730258054780
104466685113856
111472346334009
1260180b982800
1326528bb89514
1411628db85680
157b2c6e70e56
hex40ffb2df600

4466685113856 has 960 divisors, whose sum is σ = 16237223608320. Its totient is φ = 1152669450240.

The previous prime is 4466685113833. The next prime is 4466685113861. The reversal of 4466685113856 is 6583115866644.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4466685113793 and 4466685113802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2158860790 + ... + 2158862858.

It is an arithmetic number, because the mean of its divisors is an integer number (16913774592).

Almost surely, 24466685113856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466685113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118611804160).

4466685113856 is an abundant number, since it is smaller than the sum of its proper divisors (11770538494464).

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

4466685113856 is a wasteful number, since it uses less digits than its factorization.

4466685113856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2256 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 4466685113856 in words is "four trillion, four hundred sixty-six billion, six hundred eighty-five million, one hundred thirteen thousand, eight hundred fifty-six".