126463653000 has 512 divisors, whose sum is σ = 447999552000. Its totient is φ = 32995123200.

The previous prime is 126463652999. The next prime is 126463653011. The reversal of 126463653000 is 356364621.

126463653000 is a `hidden beast` number, since 1 + 2 + 64 + 63 + 6 + 530 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285470779 + ... + 285471221.

It is an arithmetic number, because the mean of its divisors is an integer number (874999125).

Almost surely, 2^126463653000 is an apocalyptic number.

126463653000 is a gapful number since it is divisible by the number (10) 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 126463653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999776000).

126463653000 is an abundant number, since it is smaller than the sum of its proper divisors (321535899000).

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

126463653000 is a wasteful number, since it uses less digits than its factorization.

126463653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 126463653000 in words is "one hundred twenty-six billion, four hundred sixty-three million, six hundred fifty-three thousand".