6350101470144 has 168 divisors, whose sum is σ = 18351003287760. Its totient is φ = 2099323699200.

The previous prime is 6350101470107. The next prime is 6350101470157. The reversal of 6350101470144 is 4410741010536.

6350101470144 is a `hidden beast` number, since 6 + 3 + 501 + 0 + 1 + 4 + 7 + 0 + 144 = 666.

It is a super-2 number, since 2×6350101470144² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6350101470099 and 6350101470108.

It is a congruent number.

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, 134967264 + ... + 135014304.

Almost surely, 2^{6350101470144} is an apocalyptic number.

6350101470144 is a gapful number since it is divisible by the number (64) 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 6350101470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175501643880).

6350101470144 is an abundant number, since it is smaller than the sum of its proper divisors (12000901817616).

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

6350101470144 is a wasteful number, since it uses less digits than its factorization.

6350101470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48979 (or 48966 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 6350101470144 in words is "six trillion, three hundred fifty billion, one hundred one million, four hundred seventy thousand, one hundred forty-four".