464629451121 has 48 divisors (see below), whose sum is σ = 753104264640. Its totient is φ = 273555480960.

The previous prime is 464629451107. The next prime is 464629451123. The reversal of 464629451121 is 121154926464.

464629451121 is a `hidden beast` number, since 4 + 6 + 4 + 629 + 4 + 5 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 464629451121 - 2⁷ = 464629450993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (464629451123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2256675 + ... + 2453943.

It is an arithmetic number, because the mean of its divisors is an integer number (15689672180).

Almost surely, 2^464629451121 is an apocalyptic number.

It is an amenable number.

464629451121 is a deficient number, since it is larger than the sum of its proper divisors (288474813519).

464629451121 is a wasteful number, since it uses less digits than its factorization.

464629451121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197966 (or 197963 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 464629451121 in words is "four hundred sixty-four billion, six hundred twenty-nine million, four hundred fifty-one thousand, one hundred twenty-one".