10407697146 has 432 divisors, whose sum is σ = 31366992384. Its totient is φ = 2437776000.

The previous prime is 10407697123. The next prime is 10407697147. The reversal of 10407697146 is 64179670401.

10407697146 is a `hidden beast` number, since 10 + 407 + 6 + 97 + 146 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407697147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 170617956 + ... + 170618016.

Almost surely, 2^10407697146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407697146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683496192).

10407697146 is an abundant number, since it is smaller than the sum of its proper divisors (20959295238).

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

10407697146 is a wasteful number, since it uses less digits than its factorization.

10407697146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10407697146 in words is "ten billion, four hundred seven million, six hundred ninety-seven thousand, one hundred forty-six".