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46360011456 = 26321123318127
BaseRepresentation
bin101011001011010001…
…011010001011000000
311102122220112121001100
4223023101122023000
51224421130331311
633144131534400
73230562411153
oct531321321300
9142586477040
1046360011456
1118730021860
128b99a5a400
1344aa8cb355
14235b131c9a
151315034a56
hexacb45a2c0

46360011456 has 168 divisors, whose sum is σ = 151266046464. Its totient is φ = 13437642240.

The previous prime is 46360011403. The next prime is 46360011493. The reversal of 46360011456 is 65411006364.

It is a happy number.

46360011456 is a `hidden beast` number, since 4 + 6 + 3 + 600 + 1 + 1 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46360011456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13336 + ... + 304791.

Almost surely, 246360011456 is an apocalyptic number.

46360011456 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 46360011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75633023232).

46360011456 is an abundant number, since it is smaller than the sum of its proper divisors (104906035008).

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

46360011456 is a wasteful number, since it uses less digits than its factorization.

46360011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318179 (or 318166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46360011456 in words is "forty-six billion, three hundred sixty million, eleven thousand, four hundred fifty-six".