1047229386336 has 1152 divisors, whose sum is σ = 3900039736320. Its totient is φ = 269598523392.

The previous prime is 1047229386311. The next prime is 1047229386347. The reversal of 1047229386336 is 6336839227401.

1047229386336 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 229 + 3 + 86 + 336 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2499353935 + ... + 2499354353.

It is an arithmetic number, because the mean of its divisors is an integer number (3385451160).

Almost surely, 2^{1047229386336} is an apocalyptic number.

1047229386336 is a gapful number since it is divisible by the number (16) 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 1047229386336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950019868160).

1047229386336 is an abundant number, since it is smaller than the sum of its proper divisors (2852810349984).

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

1047229386336 is a wasteful number, since it uses less digits than its factorization.

1047229386336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 1047229386336 in words is "one trillion, forty-seven billion, two hundred twenty-nine million, three hundred eighty-six thousand, three hundred thirty-six".