10434683545650 has 672 divisors, whose sum is σ = 37921667107968. Its totient is φ = 2072086272000.

The previous prime is 10434683545621. The next prime is 10434683545679. The reversal of 10434683545650 is 5654538643401.

10434683545650 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 46 + 8 + 3 + 545 + 6 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (10434683545621) and next prime (10434683545679).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 56295625 + ... + 56480675.

It is an arithmetic number, because the mean of its divisors is an integer number (56431052244).

Almost surely, 2^{10434683545650} is an apocalyptic number.

10434683545650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434683545650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960833553984).

10434683545650 is an abundant number, since it is smaller than the sum of its proper divisors (27486983562318).

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

10434683545650 is a wasteful number, since it uses less digits than its factorization.

10434683545650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185118 (or 185098 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 10434683545650 in words is "ten trillion, four hundred thirty-four billion, six hundred eighty-three million, five hundred forty-five thousand, six hundred fifty".